Cohomological Classification of Ann-categories
arXiv:1105.5187
Abstract
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.
Comment: 22 pages, this paper covers the paper "Structure of Ann-categories" (arXiv:0805.1505v4 [math.CT] 20 Apr 2009) Comment: Added appendix, removed section 4 Comment: To appear in Mathematical Communications