universal functor

universal functor
мат. универсальный функтор

Большой англо-русский и русско-английский словарь. 2001.

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  • Universal property — In various branches of mathematics, certain constructions are frequently defined or characterised by an abstract property which requires the existence of a unique morphism under certain conditions. These properties are called universal properties …   Wikipedia

  • Functor — For functors as a synonym of function objects in computer programming to pass function pointers along with its state, see function object. For the use of the functor morphism presented here in functional programming see also the fmap function of… …   Wikipedia

  • Universal enveloping algebra — In mathematics, for any Lie algebra L one can construct its universal enveloping algebra U ( L ). This construction passes from the non associative structure L to a (more familiar, and possibly easier to handle) unital associative algebra which… …   Wikipedia

  • Universal coefficient theorem — In mathematics, the universal coefficient theorem in algebraic topology establishes the relationship in homology theory between the integral homology of a topological space X, and its homology with coefficients in any abelian group A. It states… …   Wikipedia

  • Representable functor — In mathematics, especially in category theory, a representable functor is a functor of a special form from an arbitrary category into the category of sets. Such functors give representations of an abstract category in terms of known structures (i …   Wikipedia

  • Delta-functor — In homological algebra, a δ functor between two abelian categories A and B is a collection of functors from A to B together with a collection of morphisms that satisfy properties generalising those of derived functors. A universal δ functor is a… …   Wikipedia

  • Diagonal functor — In category theory, for any object a in any category where the product exists, there exists the diagonal morphism satisfying for , where πk …   Wikipedia

  • Forgetful functor — In mathematics, in the area of category theory, a forgetful functor is a type of functor. The nomenclature is suggestive of such a functor s behaviour: given some object with structure as input, some or all of the object s structure or properties …   Wikipedia

  • Predicate functor logic — In mathematical logic, predicate functor logic (PFL) is one of several ways to express first order logic (formerly known as predicate logic) by purely algebraic means, i.e., without quantified variables. PFL employs a small number of algebraic… …   Wikipedia

  • Ext functor — In mathematics, the Ext functors of homological algebra are derived functors of Hom functors. They were first used in algebraic topology, but are common in many areas of mathematics. Definition and computation Let R be a ring and let mathrm{Mod}… …   Wikipedia

  • Variety (universal algebra) — This article is about a class of algebraic structures of the same signature. For the set of solutions to a system of polynomial equations, see Algebraic variety. In mathematics, specifically universal algebra, a variety of algebras is the class… …   Wikipedia


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