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coimage of morphism

См. также в других словарях:

  • Coimage — In algebra, the coimage of a homomorphism f: A → B is the quotient coim f = A/ker f of domain and kernel. The coimage is canonically isomorphic to the image by the first isomorphism theorem, when that theorem applies. More generally, in …   Wikipedia

  • Pre-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… …   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

  • Image (category theory) — Given a category C and a morphism f:X ightarrow Y in C , the image of f is a monomorphism h:I ightarrow Y satisfying the following universal property: #There exists a morphism g:X ightarrow I such that f = hg . #For any object Z with a morphism k …   Wikipedia

  • Abelian category — In mathematics, an abelian category is a category in which morphisms and objects can be added and in which kernels and cokernels exist and have desirable properties. The motivating prototype example of an abelian category is the category of… …   Wikipedia

  • Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

  • List of category theory topics — This is a list of category theory topics, by Wikipedia page. Specific categories *Category of sets **Concrete category *Category of vector spaces **Category of graded vector spaces *Category of finite dimensional Hilbert spaces *Category of sets… …   Wikipedia

  • Outline of category theory — The following outline is provided as an overview of and guide to category theory: Category theory – area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as… …   Wikipedia

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