Bounded Context, Subdomains and Ubiquitous language - domain-driven-design

a) With BCs containing two or more subdomains there's a possibility of concepts overlapping and even worse, the same concept ( used by several of these subdomains ) may be interpreted/understood differently by each subdomain.
Regardless, if BC does contain numerous subdomains, should it provide several Ubiquitous languages, one for each subdomain, or should all subdomains share the same Ubiquitous language?
b) I assume when a single subdomain spans several BCs, each of these BCs should define its very own Ubiquitous language?
thanks

a) Although each domain and sub-domain may have its own language, the UL specifically targets the BC. A BC models the domain and barrows as much as possible from the already established domain language. It is called ubiquitous because it is used ubiquitously by the engineers and the domain experts, which unfortunately often cannot be said for the domain language itself.
B) Each BC should have its own UL.
When the BC models more than one (sub)domain with overlapping concepts it would be wise to consider splitting that BC. A shared kernel could be used to deduplicate the overlap that is equal in concept in both (sub)domains.

Related

DDD: Ubiquitous language vs published language

To ask this question in the shortest way possible: can they be different?
Background: Vlad Khononov in his excellent book 'Learning Domain-Driven Design (2021)' writes (p55):
The supplier's public interface is not intended to conform to its
ubiquitous language. Instead, it is intended to expose a protocol
convenient for the consumers, expressed in an integration-oriented
language.
In a sense, the open-host service pattern is a reversal of the anticorruption layer pattern: instead of the consumer, the supplier implements
the translation of its internal model.
Whereas, Olaf Zimmerman in a great article (2021) (https://eprints.cs.univie.ac.at/6948/1/europlop21-s16-camera-ready2.pdf) writes:
But in order to make the API understandable to domain experts, it is
essential that names and abstractions in the API follow the terms
defined in the ubiqitous language which is formally specified by the
domain model.
I think the anwer to question would be YES: it's possible to use different terms in published language and ubiquitous language for the same domain element. In the domain model you register the different terminology by applying 'aliases': an alias denotes the published language term used for an element in the domain model which is named according the ubiquitous language of the corresponsing bounded context.
What do you think?
The question is how much translation do Devs (internal and external) need to do between terms in the API vs. words in UL. It is almost always a trade-off, one that is shaped over time as the product and its API evolve.
All these patterns are acceptable and effective in their way:
A consumer-friendly API that at times deviates from UL
An API that reflects UL terms in APIs, ensuring internal and external stakeholders share the same view of the bounded context
A translation layer that maps the consumer-friendly external API to the internal UL terminology through aliases
Managing an external API means less wriggle room if you uncover terminology changes. Instead of trying to retain terms as-is, Approach 3 helps you improve the internal UL while still protecting the API sanctity.
You can start with Approach 2 by default and strive to retain it, but be open to being guided by external input and switch approaches.
Ubiquitous language
Internally restricted and applied only within a specific Bounded Context. Will lose meaning in other Bounded Contexts.
Commonly used by Domain Experts, Business Analysts, Engineers, etc. to communicate with each others under Bounded Context. Therefore, mainly expressed via human language writing/speaking (eg: English).
Published language
Publicly used to communicate (aka integrate) between different Bounded Contexts. Have agreed-meaning across Bounded Contexts.
Mainly used by engineers working in different Bounded Contexts to agree on integration approach (open-host, client-server, pub-sub, etc.). Therefore, mainly expressed via technical format (API, JSON, XML, Protocol Buffer, etc.)

What difference between Context Map and Bounded Context in DDD?

Im new to learn DDD concept and i cant understand something.
1-What difference between Context Map and Bounded Context and SubDomain?
2-How to recognize relation between Bounded Context ?
As said in the comment, this is a wide subject, and very important in DDD. It is the strategic part of DDD. Anyway I will try to answer your questions with an overall explanation:
DDD is about understanding and distilling the domain of the problem we want to solve. It is a continuous process of learning about the domain, talking to the domain experts. All people (developers, business people, etc) speak the same language. This language is used everywhere (conversations, documentation, source code, ...). It is called the Ubiquitous Language (UL).
The problem domain may have different areas of functionality, which would be domains too. They are the subdomains. So a subdomain is a subset of the problem domain. It is like splitting the problem into smaller subproblems, and a subdomain would be the domain of a subproblem. There are 3 kinds of subdomains:
Core: The point of distillation is to discover the subdomain that has value for the business, i.e., the one that will make your product better than others of the same kind. Such subdomain is the "core subdomain". For example, in "project management", the "task assignement" would be core.
Supporting: It is specialized in some business aspect that helps the core functionality. For example, in "project management", a "calendar" (for marking tasks delivery dates).
Generic: Functionality that maybe needed by any kind of application. For example, authentication and authorization of users.
Subdomains belong to the problem space.
To solve the problem, you model the subdomains, and you create bounded contexts (BCs). In practice, a BC is an autonomous application that contains the software model of a subdomain. A BC has its own UL. It is the context on which a term of the UL has a meaning. UL and BCs are the most important things in DDD. UL drives the BCs identification.
Ideally, you should align 1:1 the subdomains of the problem space with the BCs of the solution space, i.e., you should have a BC for each subdomain.
A team can develop one or more BCs, but a BC should be developed by just one team.
BCs belong to the solution space.
Context Map: It is a drawing that shows the BCs, and the relationships among them. Every relationship is classified in one of the following patterns:
Partnership
Shared Kernel
Customer-Supplier
Conformist
Anticorruption Layer
Open Host Service
Published Language
Separate Ways
Big Ball of Mud
Recognizing which pattern to apply in a relationship it will depend on the particular case you have. Some things that you have to consider are:
The 2 teams collaborate together.
One of the teams doesn't care about the other one.
The teams can negotiate.
The teams are independent.
Changes on a model (upstream) affects to the other model (downstream).
As #Augusto mentioned, this is a couple of chapters in the blue book, but here goes.
The domain model is found in the business rules and how people talk but a simplification of it is captured in code. Certain naming is consistent and the necessary invariants are enforced in the model.
A bounded context is mostly conceptual (might be a namespace, module, project in code as well...). It is the intention to keep a domain model consistent within it. So within the context, a certain ubiquitous language is used. And a model need only serve the needs of THAT context. It is the boundary in which the model can be used. In terms of recognizing these relationships? Some might be subtle but most are not. At least some people in the team will want to "avoid duplication" by unifying the model... so that is a clear indication that there is a relationship. Names are often the same or similar... or could be the same but one is better suited to one domain and another to another domain.
A context map is a bit more of a project management tool. It is a map of how different contexts (and the models within) relate to each other. In an Ordering Domain in an e-commerce system you may have a product. It would lead to A LOT of complication trying to have a unified Product in a model that spanned Ordering, Payments, Content for the website and Inventory domains (for example). So each of those domains should have a separate model. The context map is a diagram and related documentation that relates these bounded contexts together since there would be relationships and translation of data across from one model to the next, as an order flows through the system.
The last element you asked about is a subdomain. Here you probably are referring to a generic subdomain. Personally, I think the name is a little confusing. It makes it seem like a subset of the model. Maybe this is on purpose but I generally think of them as their own domain, just one that is not central to the business's proposition. For instance, if the aforementioned e-commerce company was known for its same day or next day delivery, then they probably shouldn't buy an off-the-shelf solution to inventory and shipping management. On the other hand, if they were focusing on a market that just wanted the cheapest deal but didn't mind waiting a few days, then that would be a perfect candidate for a generic subdomain.
My DDD glossary which has plenty of links at the bottom to more detailed articles.
If you are serious about learning this subject and can get your hands on some books:
Domain-driven Design by Eric Evans
Implementing Domain-driven Design by Vaughn Vernon
Domain-driven Design made functional by Scott Wlaschin (my favourite)

DDD - Multiple Bounded Contexts because of differing aggregate data?

We try to split up our domain into bounded contexts with the goal to have a modular application design/architecture.
We did an enlightening EventSorming session which helped us a lot to identify bounded contexts and its aggregates. After the workshop every participant agreed on the bounded contexts we identified.
Nevertheless we feel uncomfortable as we fear our bounded contexts are still too large. EventStomring focusses on the domain events / process and that's the major building block we used to identify our bounded contexts.
We also identified aggregates like "Contract". Every contract nearly follows the same process, but the amount of data these contracts contain can differ massively. There are very simple contract types and contract types which include a lot of additional data and attachments.
Is it meaningful to declare another bounded context just because the aggregate's data is more complex?
Both approaches have their drawbacks:
Implementing all contract types in one bounded context might lead to a lot of if-Statements in the code in order to handle the differing data.
Extracting a new bounded context might lead to a lot of duplicate code just because some data differs.
Any suggestions / best practices how to handle this?
...domain events / process and that's the major building block we used
to identify our bounded contexts
BCs are not identified by processes, BCs are related to the language. Each BC has its own ubiquitous language (UL). A BC is the context in which a concept has meaning. Anyway BCs belong to the solution space. First of all you should explore the domain (problem space) and split it in subdomains, distilling the core domain. Then you model each subdomain. A BC is the context where a model lives. Ideally the relationship between subdomains and BCs is 1:1.
The process of discovering subdomains is iterative, and you will find them as you know the domain better, talking to experts. When you find a word that may have different meanings, or when two different words have the same meaning, then it means that you are crossing a boundary between BCs.
So, subdomains identification is not about processes, but about concepts and UL.
Is it meaningful to declare another bounded context just because the
aggregate's data is more complex?
No, you shouldn't create BCs arbitrary just because aggregates are complex. BCs are based on the UL.
Any suggestions / best practices how to handle this?
You should learn more about the domain (contract, types, etc) by talking to domain experts, and study your aggregate (transactional consistency)... Anyway, if you split your aggregate into anothers, it doesn't mean that they belong to different BCs, they still can belong to the same BC. A BC can have more than one aggreagate. It all depends on your concrete domain.
Bounded contexts have little to do with if-statements, so I'm not sure what you mean.
Bounded contexts are a semantically closed set of business functionalities. Basically your bounded context is well defined if it can execute its functions in complete isolation, even if the other contexts are not available.
Other than that, you can have any design inside of the context. I feel the amount of if-statements depends more on your class/code-design, like whether you use polymorphism correctly, interfaces, things like that.
But, to your point: You don't need to have everything perfect the first time. If you identified some valid contexts, you already did the hard part. If any context can be further divided, that could happen later anytime with little impact on others (since contexts are more or less isolated).
No specific business teams for different kinds of contracts
No dedicated dev team for specific kinds of contracts
Same ubiquitous language is used for all contracts
Every contract nearly follows the same process
These to me are signs that all contracts belong to the same business subdomain and should ideally be in the same Bounded Context - unless legacy or third party systems force you otherwise.

Confused about Bounded Contexts and SubDomains

I've read Eric Evan's book and am reading Vaughn Vernon's book now. I'm in the second chapter where he talks about subdomains and bounded context and am thoroughly confused now.
From what I was able to distill, there should be a 1:1 relationship between a BC and an SD. However, I read in other places that this isn't necessarily the case.
Can someone explain to me the relationship between a BC and SD?
A subdomain is a part of your business. There are core domains, supporting domains and generic domains. Core domains are where the money is, supporting domains support your core business, and generic domains are the ones you need, but don't care a lot about, so you would probably buy them of the shelf. For an insurance company, the core domain is insurance, a supporting domain could be client portfolio, and a generic domain could be something like timesheets.
In general a bounded context is a boundary within which the ubiquitous language is consistent. In DDD walhalla each subdomain would live in its own bounded context. In reality however, there is legacy, there are packages that try to do everything at once... which will force all kinds of awkard relationships.
I try to explain these concepts with my understanding.
In DDD, everything should be communicated under ubiquitous language so the technical team and business team can use the same terms and have same views on the problems
Domain in DDD represent real problem in business. Such as: E commerce is a domain, Payroll system is a domain
Domain is divided into many sub domains, so each sub domains focus smaller problems. Such as: E commerce has many sub domains such as: Shopping Cart, Billing, Product Catalog, Customer Information...
Each sub domain should have explicit responsibilities so it has a boundary to limit their functionalities, the boundary will help sub domain focus to do only 1 thing and do well. This boundary is considered as bounded context of the sub domain. The bounded context will define:
How many domain models needed for the sub domain?
Which properties needed in the each model?
Which functionalities needed in sub domain?
Ex: Shopping Cart sub domain needs models: Cart, Product, Customer Info... and contains functions to perform CRUD on the cart. Notes: The Product and Customer model in the Shopping Cart sub domain maybe not the same with the models in Product Catalogs and Customer Profiles sub domain, they just contain necessary properties to display on Shopping Cart.
Vaughn Vernon in his “Implementing Domain-Driven Design” book states that “the subdomains live in the problem space and the bounded contexts in the solution space”
Imagine a software that is being developed to support a dentist. A dentist has two problems: fixing patients’ teeth and making appointments for the patients. Fixing teeth is the core domain and making appointments is a supporting subdomain. In the core domain the medical staff cares about a patient’s dental history, can they handle general anesthesia or not, what their current problem is, etc. In the subdomain the staff (not necessarily medical staff) cares about a patient’s contact information, a date and a time that best suits both the doctor and the patient, the type of dental work needed, etc. Both domains need a model of a patient, but that model will depend on the bounded context we put in place to ensure the correct information and features are available when solving the problems of each domain.
read https://robertbasic.com/blog/bounded-contexts-and-subdomains/
Rereading the Booking Context from the blue book 18 times helped me finally get a handle. http://codeidol.com/csharp/domain-driven-design/Maintaining-Model-Integrity/Bounded-Context/
This article helped as well: http://gorodinski.com/blog/2013/04/29/sub-domains-and-bounded-contexts-in-domain-driven-design-ddd/
Here is my understanding, I would use the Hospital example to elaborate the concepts and deep dive into how is BC is different than Subdomain and why they can be a case where there is no 1:1 relationship between them
Example
Imagine we are making software for a Hospital, in which we have identified 3 subdomain
Health Care (Core domain, where they actually want to cure the patient)
Invoice (Supporting domain focused on invoicing)
Knowledge (Generic domain, where doctors maintain procedures on how to operate on a patient for a particular disease)
Now we know that Bounded Contexts are boundaries under which terms
have a very well-defined meaning. So let us apply those in Subdomains
Let's consider the term. Patient. What are the things that you think about when hearing the term patient?
Their current symptoms
Past medical records
Allergies
How about their bill-paying credibility? Current outstanding balance? Didn't think of it? The reason is you were thinking in the core subdomain space of Health Care. The bill-paying credibility makes sense only when you shift to the Invoice subdomain.
What we understand from this is the Patient term is inside a Bounded Context, its a boundary inside a subdomain where it has a very specific meaning
The reason it said
BC is in solution/implementation/programming space and not in business
space
is because here we decide what fields and behaviors should be part of the Patient model
In the core domain space, you might represent Patient it like this
class Patient {
List<Allergy> alergies;
List<MedicalRecord> records;
Age age;
boolean isAllergicTo(Allergy allergy)
boolean canTakeLocalAnesthesia()
}
Whereas in the Invoicing subdomain you might want to represent it like this
class Patient {
CreditCard creditCard;
CreditScore creditScore;
Bill currentBill;
void charge(Amount amount)
}
Similarly, the term Cure in the Health Core subdomain, would have the operations that were/are_to_be performed on a patient to cure the disease whereas in the Knowledge subdomain it would contain information about Symptoms, Diagnosis tests, Prescription suggestions, that go along with a disease.
You can now see the Health Care subdomain has multiple BCs and under a BC each term has a very specific meaning thus supporting the Ubiquitous Language
Please check this link it will help you,
Bounded Context or Context?
The term Context is a general description of a grouping of concepts, the term Bounded Context is more specific – a Bounded Context is an area of your application which has explicitly defined borders, has its own Model, and maintains its own code. Within the Bounded Context everything should be strictly consistent.
Usually, we can use the terms Context and Bounded Context interchangeably, though I tend to talk in terms of Context about the business side of things, and the term Bounded Context about the technical implementation.
In a very short and simple sentence, we can say: subdomains are part of the problem space and are chosen by The Business whereas bounded contexts are software boundaries defined by engineers.
First. The official definitions from the Blue Book is:
Domain: A sphere of knowledge, influence, or activity.
Bounded context: The delimited applicability of a particular model. Bounded contexts gives team members a clear and shared
understanding of what has to be consistent and what can develop
independently.
Note that those concepts exists by themselves before any architecture design or line of code is written down.
DDD is about having a domain model shared by business people and programmers that is reflected in source code. But with medium or bigger organisations it is not practical to have a single model. It is better to divide and conquer because:
Different areas have different needs, cultures, jargon, etc. Sometimes the same concept has different terms or viceversa.
Creating a big meeting to make people agree is costly and it is really hard to agree in something at this scale for so many people.
The cognitive load of developing an enterprise-wide mega application. Better to implement a components that can assigned to smaller teams.
So you reduce the domain modelling to an specific an concrete bounded contexts. This has the advantage of also reducing the complexity. But what if the same concept is used in several contexts? This leads me to the second question:
There should be a 1:1 relationship between a BC and an SD. However, I
read in other places that this isn't necessarily the case.
No. There is no need. Here is an example from Martin Fowler: the products and customers subdomains are shared by the sales and support bounded contexts.
Of course you try to select bounded contexts as loosely coupled as possible. But just as when you separate modules in an app there is a minimum level of coupling to make the connection. So, the same concept is modelled differently in each context (Multiple Canonical Models). This can be implemented in code by adding an Anti-Corruption-Layer that translates between models.
Moving to a single bounded context is not just a matter of software design. It would require modifying the mental model of business and this is hard. Also, people sometimes have simpler views of a domain because it reduces the complexity and their cognitive load.
Concrete example:
In this talks from DDD Europe they have an example from Amazon:
The sub-domain term Book has a very different model in different bounded contexts:
In the Catalog bounded context: Picture, title, authors, rating...
In the Shipping bounded context: Dimensions, weight, international restrictions
In the Search inside bounded context: full-text content, copyright dealing policy
So Amazon may have very complex sub-domains with lots of attributes:
Books: isbn, title, number of pages)
Clothing: size, colour, material
Computers: cpu, graphic card, hard-drive, ram
But only some of them would be relevant in different subdomains.
Let me add a diagram with a more global example
Extra resources:
"Bounded Contexts" Talk by Eric Evans in DDD Europe 2020
DDD Crew: repo resources
Virtual DDD community
Vaughn Vernon states in his book “Implementing Domain-Driven Design” the following:
"It is a desirable goal to align Subdomains one-to-one with Bounded Contexts." Page 57
A model's boundary, the bounded context, can contain ideas from various subdomains. Or a single subdomain might be represented by a number of bounded contexts. The ideal scenario would be one bounded context for one subdomain. If you are able to define multiple bounded context for a subdomain, that sometimes leans you into realizing that the subdomain is not fine-grained, and maybe the subdomain could be distilled into separated subdomains.
The other way around could also be justified, when you had multiple subdomain aspect covered in one BD, because e.g. that was pragmatic to do so.
More specifically, when the subdomain is generic, and the generic solution is easy to integrate, it may be more cost-effective to integrate it in each of the bounded contexts locally.
An example is a logging framework; it would make little sense for one of the bounded contexts to expose it as a service, as the added complexity of integrating such a solution would outweigh the benefit of not duplicating the functionality in multiple contexts.
When two different languages talking the same or similar thing, the thing is referred in 2 different contexts. You can translate the thing in 2 context in certain extents.
Similarly a term could have different meaning in different departments. in that case different context explain the term differently. Translation between two to some extent maybe possible.
Instead of saying “Bounded context” maybe try saying “bounded world”
My understanding about sub-domain and bounded context is-
Each subdomain represents a specific area of knowledge or responsibility within the overall domain, and each subdomain may have one or more responsibilities associated with it. In some cases responsibilities can split across multiple subdomains. Considering all theses issues, it can be useful to draw logical boundaries to separate those responsibilities and maintain consistency and transactional integrity.
Bounded contexts in Domain-Driven Design (DDD) are used to define these logical boundaries and provide a way to manage the complexity of large and complex systems by dividing them into smaller, more manageable parts. By using ubiquitous language we can ensure that the concepts and rules of that context are clearly understood and communicated within the development team. So we draw that boundary based on the uses language in that particular context.
So, in summary, a subdomain represents a specific area of knowledge or responsibility within the overall domain, and bounded contexts are used to manage the complexity of large systems by creating logical boundaries around specific areas of responsibility, and using a specific language, or ubiquitous language, to ensure clear communication and understanding of the concepts and rules within that context.
Bounded context ensure us that one responsibility doesn't blend with another one and finally prevent us from introducing complexity and confusion. In that sense it is very similar with SRP of SOLID

Can Core Domain span multiple Bounded Contexts?

1)
Evan's book, pg. 415:
Also, the critical aspects of the domain model may span multiple
Bounded Contexts, but by definition these distinct models can't be
structured to show their common focus.
a) I assume the quote is implying that Core Domain CD can span several Bounded Contexts BCs?
b) I assume BCs within CD should only contain core elements, but no generic elements? If so, doesn't that mean we should always design BCs ( those contained by CD ) with Core Domain in mind? In other words, we should have some general idea what CD is even before we begin designing BCs?
c)
... but by definition these distinct models can't be structured to
show their common focus
I realize that BCs shouldn't be structured such that outside world would be able to immediately figure out how all the parts ( ie BCs ) fit together and what their common purpose is, but is author implying that such a structure ( which would implicitly convey the common purpose of different BCs ) couldn't happen even by accident? If so, why?
2) Domain Model may have several Generic Subdomains GSs , but can a single GS span multiple BCs?
UPDATE:
1)
b)
I assume BCs within CD should only contain core elements, but no
generic elements? ...
One should certainly have an idea of what the core domain is when
defining BCs. As stated, ideally, they should be one-one. However, a
BC may be defined to fulfill needs of of a system in a non-ideal
state.
I assume you're implying that in non-ideal situation BC within CD may also contain some non-core elements and also in non-ideal situation CD may contain more than one BC?
c)
A domain spans multiple BCs but despite explicit boundaries, domain
behavior can certainly span BCs. A context map can describe such
cross-BC interactions. The quote itself is based around the idea of a
domain vision statement the purpose of which is to highlight the value
of the core domain and possibly explain the relationship to BCs.
But why is author using the term "by definition", as if to imply there is no way that BCs could accidentally also be structured such that they would show their common focus?
2)
Domain Model may have several Generic Subdomains GSs , but can a
single GS span multiple BCs?
Multiple BCs can make use of a single generic sub-domain. I would
avoid the term "spans" here because that overemphasizes the importance
of the generic sub-domain for the entire domain model.
a)
Multiple BCs can make use of a single generic sub-domain
Not sure I understand your reply. Are you saying that a single GS can contain multiple *BCs*?
b)
I would avoid the term "spans" here because that overemphasizes the
importance of the generic sub-domain for the entire domain model.
Perhaps a useless question, but could you elaborate on why using the term "span" would make Generic Subdomain appear more important than it actually is?
REPLYING TO Giacomo Tesio:
1)
b)
No, some generic elements often play a key role in the Core Domain.
See for example Time, Currency and Money that are present in many
Shared Kernel: they are really generic but important to the Core
Domain rules.
So if generic element ( such as Time, Currency and Money ) is also used by Core Domain, then only implementation option is Shared Kernel ( ie this generic element is shared by both Core Domain and any other subdomain(s) that needs it ), but if generic element is used only by Core Domain, then we shouldn't bother with Shared Kernel, but should instead define this generic element directly within Core Domain ?
1)
c) Context boundaries are defined after term's semantics. In a BC, no
term should mean more than one thing (see SRP). When you see that a
class has more than one meaning in the domain expert's mind, you know
that you have mixed differnt BC.
Could you expand on your answer a bit, since I fail to understand how your answer relates to my question?
SECOND UPDATE:
1)
b)
It may also be that a single BC contains multiple sub-domains. This is
usually not ideal because it likely indicates a conflated BC.
When reading the book, I haven't pay much attention to author's usage of the term "subdomain", but I'm pretty certain that the book doesn't offer a thorough definition of what a subdomain is. So what exactly is considered a subdomain? Just a bunch of logically related domain concepts? If yes, then I assume a subdomain should never span several BCs?
2)
a)
A signle GS can be used by multiple BCs. This is so because the
sub-domain is generic. So the GS doesn't contain the BCs; instead, it
is referenced by the BCs.
From your reply it seems you're implying that Generic Subdomains are never implemented as BCs? Why not, since in my opinion different Generic Subdomains may contain distinct models and BCs seem ideal solution to separate those generic models?!
3)
Could you also help me with the following question, since it's confusing me quite a bit: if generic element ( such as Time, Currency and Money ) is also used by Core Domain, then only implementation option is Shared Kernel ( ie this generic element is shared by both Core Domain and any other subdomain(s) that needs it ), but if generic element is used only by Core Domain, then we shouldn't bother with Shared Kernel, but should instead define this generic element directly within Core Domain ?
thank you
1a) In that quote the author is referring to the entire domain, not the core domain. The entire domain can span multiple BCs. The relationship between a BC and core domain can be more complicated. Domains, sub-domains and the core domain are elements of the problem space. A BC is an artifact of the solution space. In reality, they may not always be one-to-one, however that is the ideal.
1b) One should certainly have an idea of what the core domain is when defining BCs. As stated, ideally, they should be one-one. However, a BC may be defined to fulfill needs of of a system in a non-ideal state.
1c) A domain spans multiple BCs but despite explicit boundaries, domain behavior can certainly span BCs. A context map can describe such cross-BC interactions. The quote itself is based around the idea of a domain vision statement the purpose of which is to highlight the value of the core domain and possibly explain the relationship to BCs.
2) Multiple BCs can make use of a single generic sub-domain. I would avoid the term "spans" here because that overemphasizes the importance of the generic sub-domain for the entire domain model.
UPDATE
1b) It may be that a core-domain is implemented with multiple bounded contexts. This isn't necessarily a defect and in some instances is the ideal. It may also be that a single BC contains multiple sub-domains. This is usually not ideal because it likely indicates a conflated BC.
1c) By definition BCs are physically partitioned and shouldn't have direct dependencies. I think this is what the author is referring to. The issue he's highlighting is that you can have multiple BCs at play which warrants explanation, especially when a single sub-domain is addressed.
2a) A signle GS can be used by multiple BCs. This is so because the sub-domain is generic. So the GS doesn't contain the BCs; instead, it is referenced by the BCs.
2b) Having a generic sub-domain "span" the system may be an indication that it isn't really a generic sub-domain, but a core domain. This is not to say that a generic component can't be used throughout the system, quite the contrary. However in that case, the component spanning the system is only a technical axis.
UPDATE 2
1b) Yes a sub-domain is a cohesive component of the entire domain. A sub-domain can span multiple BCs. This can be acceptable because a BC is a solution space artifact and there can be technical reasons or even organizational issues for its existence. For example, in the domain of an online retailer there is a product catalog sub-domain. This would have a corresponding products BC. However, additional functionality regarding product search can be placed into a product search BC. This is still part of the catalog sub-domain, but a new BC for technical reasons. On the other hand, when a single BC contains multiple sub-domains, this can be problematic.
2a) I think I got overly semantic on the use of the word span. A generic sub-domain can be a BC. However, care must be taken to ensure that a generic sub-domain is in fact used in a generic way.
3) Yes. Beyond that, base classes like Money can be implemented uniquely for each sub-domain even if they are used in multiple places. Sometimes copy-and-paste is the best pattern.
1a) Yes, the Core Domain essentially is the set of bounded contexts that worth the application's development from the customer point of view.
1b) No, some generic elements often play a key role in the Core Domain. See for example Time, Currency and Money that are present in many Shared Kernel: they are really generic but important to the Core Domain rules.
1c) Context boundaries are defined after terms' semantics. In a BC, no term should mean more than one thing (see also SRP). They are almost linguistic boundaries! When you see that a class has more than one meaning in the domain expert's mind, you know that you have mixed different BC.
2) Yes, Generic Subdomains are those part of the domain model (or, the set of the bounded contexts) that are useful but not central in the application. I've built several applications with generic subdomains: when they add some value that the customer wish to pay (and I can't provide such value with a simple CRUD component).
Note that what's "Core Domain" in your application is a qualitative definition: I've seen many times secondary parts of successful applications to achieve importance when the customer's corporate organization changed. Thus, what is Core Domain today might be not tomorrow.

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