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 Relation between Ann-categories and ring categories Commun. Korean Math. Soc. 2010 Vol. 25, No. 4, 523-535 https://doi.org/10.4134/CKMS.2010.25.4.523Printed December 1, 2010 Che Thi Kim Phung, Nguyen Tien Quang, and Nguyen Thu Thuy 783 Pham Huu Lau Street,Cao Lanh City, Hanoi National University of Education, Hanoi National University of Education Abstract : There are different categorifications of the notion of a $ring$ such as $Ann$-$category$ due to N. T. Quang, $ring$ $category$ due to M. M. Kapranov and V. A. Voevodsky. The main result of this paper is to prove that every axiom in the definition of a $ring$ $category$, but the axiom $x_{0}=y_{0},$ can be deduced from the axiomatics of an $Ann$-$category$. Keywords : Ann-category, ring category, distributivity constraint MSC numbers : 18D10 Downloads: Full-text PDF

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