The Relation between Ann-Categories and Ring Categories

Autor: Quang, Nguyen Tien, Thuy, Nguyen Thu, Phung, Che Thi Kim
Rok vydání: 2009
Předmět:
Zdroj: Commun. Korean Math. Soc. 25, No. 4 (2010) 523-535
Druh dokumentu: Working Paper
DOI: 10.4134/CKMS.2010.25.4.523
Popis: 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}.
Comment: 9 pages
Databáze: arXiv