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http://dx.doi.org/10.4134/CKMS.2010.25.4.523

RELATION BETWEEN ANN-CATEGORIES AND RING CATEGORIES  

Phung, Che Thi Kim (DEPARTMENT OF MATHEMATICS DONG THAP UNIVERSITY)
Quang, Nguyen Tien (DEPARTMENT OF MATHEMATICS HANOI NATIONAL UNIVERSITY OF EDUCATION)
Thuy, Nguyen Thu (DEPARTMENT OF MATHEMATICS HANOI NATIONAL UNIVERSITY OF EDUCATION)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.4, 2010 , pp. 523-535 More about this Journal
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;
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  • Reference
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