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arxiv: 0904.1099 · v1 · pith:LAC4FKEKnew · submitted 2009-04-07 · 🧮 math.CT

The Relation between Ann-Categories and Ring Categories

classification 🧮 math.CT
keywords ringann-categoryaxiomcategorydefinitionann-categoriesaxiomaticscategories
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There are different categorizations of the definition of a {\it ring} such as {\it Ann-category} (see N. T. Quang [6]), {\it ring category} (see M. Kapranov and V.Voevodsky [2]),... The main result of this paper is to prove that every axiom of the definition of a {\it ring category}, without the axiom $x_{0}=y_{0},$ can be deduced from the axiomatics of an {\it Ann-category}.

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