Definition of Monomorphisms. Meaning of Monomorphisms. Synonyms of Monomorphisms

Here you will find one or more explanations in English for the word Monomorphisms. Also in the bottom left of the page several parts of wikipedia pages related to the word Monomorphisms and, of course, Monomorphisms synonyms and on the right images related to the word Monomorphisms.

Definition of Monomorphisms

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Meaning of Monomorphisms from wikipedia

- anything with itself is itself. Monomorphisms generalize this property to arbitrary categories. A morphism is a monomorphism if it is idempotent with respect...
- a monomorphism, and will be normal if and only if H is a normal subgroup of G. In fact, this is the origin of the term "normal" for monomorphisms.[citation...
- Morphisms with left inverses are always monomorphisms, but the converse is not true in general; a monomorphism may fail to have a left inverse. In concrete...
- equivalence relation on the monomorphisms with codomain A {\displaystyle A} , and the corresponding equivalence classes of these monomorphisms are the subobjects...
- Injective ring homomorphisms are identical to monomorphisms in the category of rings: If f : R → S is a monomorphism that is not injective, then it sends some...
- Admissible monomorphisms are kernels of their corresponding admissible epimorphisms, and dually. The composition of two admissible monomorphisms is admissible...
- i {\displaystyle fi} is a monomorphism only when f is a monomorphism. Essential monomorphisms in a category of modules are those whose image is an essential...
- epimorphism. The above differs from the case of monomorphisms where it is more frequently true that monomorphisms are precisely those whose underlying functions...
- cocomplete). AB4) A satisfies AB3), and the coproduct of a family of monomorphisms is a monomorphism. AB5) A satisfies AB3), and filtered colimits of exact sequences...
- In programming language theory and type theory, polymorphism is the use of one symbol to represent multiple different types. In object-oriented programming...