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arXiv · 0708.3308

Structure of Ann-categories and Mac Lane - Shukla cohomology

Nguyen Tien Quang
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Abstract

In this paper we study the structure of a class of categories having two operations which satisfy axioms analoguos to that of rings. Such categories are called "Ann - categories". We obtain the classification theorems for regular Ann - categories and Ann - functors by using Mac Lane - Shukla cohomology of rings. These results give new interpretations of the cohomology groups and of the rings

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Nguyen Tien Quang. 2007-08-24. Structure of Ann-categories and Mac Lane - Shukla cohomology. https://arxiv.org/abs/0708.3308

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