Structure of Ann-categories and Mac Lane - Shukla cohomology

Details Structure of Ann-categories and Mac Lane - Shukla cohomology Structure of Ann-categories and Mac Lane - Shukla cohomology

2007-08-24

arxiv.org/abs/0708.3308v1

East-West J. of Mathematics Vol. 5, No 1, 2003

Mathematics

Category Theory

14 pager

Scientific paper

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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