(monomorphism)
51Category of sets — In mathematics, the category of sets, denoted as Set, is the category whose objects are all sets and whose morphisms are all functions. It is the most basic and the most commonly used category in mathematics.Properties of the category of setsThe… …
52Injective function — Injective redirects here. For injective modules, see Injective module. An injective function (is not a bijection) …
53Cheetah — This article is about the animal. For other uses, see Cheetah (disambiguation). Cheetah[1] Temporal range: Late Pliocene to Recent …
54Preadditive category — In mathematics, specifically in category theory, a preadditive category is a category that is enriched over the monoidal category of abelian groups. In other words, the category C is preadditive if every hom set Hom(A,B) in C has the structure of …
55Additive category — In mathematics, specifically in category theory, an additive category is a preadditive category C such that any finitely many objects A 1,..., A n of C have a biproduct A 1 ⊕ ⋯ ⊕ A n in C. (Recall that a category C is preadditive if all its… …
56Pre-Abelian category — In mathematics, specifically in category theory, a pre Abelian category is an additive category that has all kernels and cokernels.Spelled out in more detail, this means that a category C is pre Abelian if: # C is preadditive, that is enriched… …
57Abelian — Abelian, in mathematics, is used in many different definitions, named after Norwegian mathematician Niels Henrik Abel:In group theory:*Abelian group, a group in which the binary operation is commutative **Category of abelian groups Ab has abelian …
58Snake lemma — The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance …
59Mono — is considered[citation needed] to refer most often to: anything single, e.g. as in monorail, a train system using a single rail, as opposed to the conventional two rail system monaural (or monophonic) sound, which uses a single channel, as… …
60Special linear group — In mathematics, the special linear group of degree n over a field F is the set of n times; n matrices with determinant 1, with the group operations of ordinary matrix multiplication and matrix inversion.This is the normal subgroup of the general… …
