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arXiv · 0904.1099

The Relation between Ann-Categories and Ring Categories

Nguyen Tien Quang·Nguyen Thu Thuy·Che Thi Kim Phung
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Abstract

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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Nguyen Tien Quang, Nguyen Thu Thuy, Che Thi Kim Phung. 2009-04-07. The Relation between Ann-Categories and Ring Categories. https://doi.org/10.4134/ckms.2010.25.4.523

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