- universal epimorphism
- мат. универсальный эпиморфизм
Большой англо-русский и русско-английский словарь. 2001.
universal epimorphism
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Epimorphism — In category theory an epimorphism (also called an epic morphism or an epi) is a morphism f : X rarr; Y which is right cancellative in the following sense: : g 1 o f = g 2 o f implies g 1 = g 2 for all morphisms g 1, g 2 : Y rarr; Z .Epimorphisms… … Wikipedia
Morphism — In mathematics, a morphism is an abstraction derived from structure preserving mappings between two mathematical structures. The notion of morphism recurs in much of contemporary mathematics. In set theory, morphisms are functions; in linear… … Wikipedia
Monomorphism — This page is about the mathematical term. For other uses, see Monomorphic (disambiguation) or Polymorphism (disambiguation). In the context of abstract algebra or universal algebra, a monomorphism is an injective homomorphism. A monomorphism from … Wikipedia
Cokernel — Coker (mathematics) redirects here. For other uses, see Coker (disambiguation). In mathematics, the cokernel of a linear mapping of vector spaces f : X → Y is the quotient space Y/im(f) of the codomain of f by the image of f. Cokernels are… … Wikipedia
Coequalizer — In category theory, a coequalizer (or coequaliser) is a generalization of a quotient by an equivalence relation to objects in an arbitrary category. It is the categorical construction dual to the equalizer (hence the name). Contents 1 Definition… … Wikipedia
Element (category theory) — In category theory, the concept of an element, or a point, generalizes the more usual set theoretic concept of an element of a set to an object of any category. This idea often allows to restate definitions or properties of morphisms (such as… … Wikipedia
Epimorphisme — Épimorphisme En Théorie des catégories, un épimorphisme (aussi appelé epi) est un morphisme f : X → Y qui est simplifiable à droite de la manière suivante: g1 o f = g2 o f implique g1 = g2 pour tout morphisme g1, g2 … Wikipédia en Français
Épimorphisme — En Théorie des catégories, un épimorphisme (aussi appelé epi) est un morphisme f : X → Y qui est simplifiable à droite de la manière suivante: g1 o f = g2 o f implique g1 = g2 pour tout morphisme g1, g2 : Y → Z.… … Wikipédia en Français
Category of topological spaces — In mathematics, the category of topological spaces, often denoted Top, is the category whose objects are topological spaces and whose morphisms are continuous maps. This is a category because the composition of two continuous maps is again… … Wikipedia
Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… … Wikipedia
Product (category theory) — In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the cartesian product of sets, the direct product of groups, the direct… … Wikipedia
