Cohomological Classification of Ann-categories

Details Cohomological Classification of Ann-categories Cohomological Classification of Ann-categories

2011-05-26

arxiv.org/abs/1105.5187v1

Mathematics

Category Theory

22 pages, this paper covers the paper "Structure of Ann-categories" (arXiv:0805.1505v4 [math.CT] 20 Apr 2009)

Scientific paper

The notion of Ann-categories is a categorification of the ring structure.
Regular Ann-categories were classified by Shukla algebraic cohomology. In this
article, we state and prove the precise theorem on classification for the
general case due to Mac Lane cohomology for rings. And an application for
classification problem of ring extensions is also introduced.

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