Category:Adjoint functors
Category:Adjoint functors Pages in category "Adjoint functors" There are 12 pages in this section of this category. Adjoint functors B Beck's monadicity ...
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Adjoint functors
Adjoint functors In mathematics, adjoint functors are pairs of functors which stand in a particular relationship with one another. Such functors are ubiquitous in mathematics. Adjoint functors are studied in a branch of ...
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Category theory
Category theory In mathematics, category theory deals in an abstract way with ... connection with algebraic topology. See list of category theory topics for a breakdown of relevant ... structure, as mathematical theories have traditionally done, category theory emphasizes the morphisms — the structure ... investigation occurs in many mathematical theories. A category is an axiomatic formulation of this ...
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Functor category
Functor category In category theory, a branch of mathematics, the functors between two given categories can themselves be turned into a category; the morphisms in this functor category are natural transformations between functors. Functor ...
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Abelian category
Abelian category In mathematics, an abelian category is a category in which morphisms and objects can be ... The motivating prototype example of an abelian category is the category of abelian groups, Ab. Definitions A ...
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Additive category
Additive category In mathematics, specifically in category theory, an additive category is a preadditive category C such that any finitely many objects ... A n in C. (Recall that a category C is preadditive if all its ...
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Derived category
Derived category In mathematics, the derived category D(C) of a category C is a construction of homological algebra ... sense to simplify the theory of derived functors defined on C (which therefore should already be an abelian category). The construction proceeds on the basis ...
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Comma category
Comma category A comma category (also sometimes called a slice category) is a construction in category theory, a branch of mathematics. It provides ... instead of simply relating objects of a category to one another, they become objects ...
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Preadditive category
Preadditive category In mathematics, 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- ...
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Category theory   (translated from German)
Category theory Those Category theory or those kategorielle algebra is in ... Math. Soc., 58, 1945) the first explicitly category-theoretical work. The fundamental ideas of this theory are Category, Radio gate and natural transformation. In order ... latter term, the others were introduced. The category theory leaves itself similar, as those ...
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