The Relation between Ann-Categories and Ring Categories

Details The Relation between Ann-Categories and Ring Categories The Relation between Ann-Categories and Ring Categories

2009-04-07

arxiv.org/abs/0904.1099v1

Mathematics

Category Theory

9 pages

Scientific paper

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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