JP Journal of Algebra, Number Theory and Applications
Volume 11, Issue 1, Pages 59 - 72
(June 2008)
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ON THE AXIOMATICS OF ANN-CATEGORIES
Nguyen Tien Quang (Vietnam), D. D. Hanh (Vietnam) and N. T. Thuy (Vietnam)
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Abstract: In this paper, we study the axioms of Ann-categories
and categorical rings. These are the categories with distributivity constraints
whose axiomatics are similar with those of ring structures. The main result, we
obtain is the independence of the axioms of Ann-category definition. Further, we
prove that after adding an axiom into the definition of categorical rings, we
obtain the set of new axioms to be equivalent to one of Ann-categories. |
Keywords and phrases: Ann-category, categorical ring, constraint, equivalent. |
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