Definition of Monomorphisms. Meaning of Monomorphisms. Synonyms of Monomorphisms

- anything with itself is itself. Monomorphisms generalize this property to arbitrary categories. A morphism is a monomorphism if it is idempotent with respect...
- 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...
- 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...
- 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...
- 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...
- In programming language theory and type theory, polymorphism is the use of a single symbol to represent multiple different types. In object-oriented programming...
- ****ual selection and natural selection. The opposite of dimorphism is monomorphism, when both biological ****es are phenotypically indistinguishable from...
- {\displaystyle g=h.} In other words, injective functions are precisely the monomorphisms in the category Set of sets. If f : X → Y {\displaystyle f:X\to Y} is...
- equivalence relation on the monomorphisms with codomain A {\displaystyle A} , and the corresponding equivalence classes of these monomorphisms are the subobjects...
- epimorphism. The above differs from the case of monomorphisms where it is more frequently true that monomorphisms are precisely those whose underlying functions...