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...
- ****ual selection and natural selection. The opposite of dimorphism is monomorphism, when both biological ****es are phenotypically indistinguishable from...
- 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...
- {\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...
- 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...
- structures, monomorphisms are commonly defined as injective homomorphisms.: 134  : 29  In the more general context of category theory, a monomorphism is defined...
- equivalence relation on the monomorphisms with codomain A {\displaystyle A} , and the corresponding equivalence classes of these monomorphisms are the subobjects...
- In programming language theory and type theory, polymorphism is the use of one symbol to represent multiple different types. In object-oriented programming...
- epimorphism. The above differs from the case of monomorphisms where it is more frequently true that monomorphisms are precisely those whose underlying functions...
- field F and let T: V → W be a linear map. T is said to be injective or a monomorphism if any of the following equivalent conditions are true: T is one-to-one...