Equivalence of categories
Equivalence of categories In category theory, an abstract branch of mathematics, an equivalence of categories is a relation between two categories that establishes that these categories are " ...
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Talk:Equivalence of categories
Talk:Equivalence of categories Is every equivalence between additive categories automatically an additive functor? AxelBoldt 17:24 ... the conjecture is clearly false; for additive categories it is however true as our ...
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Equivalence
Equivalence Equivalence or equivalent may refer to: In mathematics: Equivalence relation Equivalence of categories Coordinate rotational equivalence Improper rotational equivalence ...
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Morita equivalence
Morita equivalence In abstract algebra, Morita equivalence is a relationship defined between rings that ... after Japanese mathematician Kiiti Morita who defined equivalence and a similar notion of duality in ... category of modules over that ring. Morita equivalence takes this viewpoint to a natural conclusion ... rings to be equivalent if their module categories are equivalent. Formal definition Two rings ...
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Equivalence relation   (translated from German)
Equivalence relation In that Mathematik one would like ... of the minimum requirements to such a equivalence term is the term that Equivalence relation. For example each term, which can ... the equality of certain characteristics, is an equivalence relation: the equal power of finite quantities ... which has these characteristics, is called one Equivalence relation. Those Equivalence class an object < ...
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Weak equivalence
Weak equivalence In mathematics, a weak equivalence is a notion from homotopy theory which ... if the weak equivalences of two model categories containing the same objects and morphisms are ... in the same way, the resulting homotopy categories will be the same, regardless of the ... of fibrations and cofibrations in the respective categories. Different model categories define weak equivalences ...
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Isomorphism of categories
Isomorphism of categories In category theory, two categories C and D are isomorphic if there ... one correspondence to each other. Two isomorphic categories share all properties that are defined solely ... of their objects and morphisms. Isomorphism of categories is a very strong condition and rarely ... Much more important is the notion of equivalence of categories; roughly speaking, for an ...
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Talk:Duality of categories
Talk:Duality of categories This page should redirect to equivalence of categories, an article which explicitly uses the title ... articles to avoid confusion of "duality of categories" and "duality in category theory". Most importantly ... linking to this page really mean an equivalence. --Markus Krötzsch 22:21, 12 May ...
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User:Silverfish/Math Categories
User:Silverfish/Math Categories < User:Silverfish Cellular automata 3D Life Books ... Set theory Axiom of real determinacy [Borel equivalence relation]] Erdo"s cardinal Computer mathematics BCMath ...
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User:Lethe/list of categories
User:Lethe/list of categories < User:Lethe In category theory, categories are the main object of study. The following is a list of important categories, and a glossary of named categories. Table of categories Legend symbol meaning keys and comments ...
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