Cohomological classication of Ann-categories

Nguyen Tien Quang

Vol. 18 No. 1 (2013)

Regular Articles

Cohomological classication of Ann-categories

Nguyen Tien Quang

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Abstract

An Ann-category is a categorication of rings. Regular Ann-categories were
classied by Shukla cohomology of algebras. In this paper, we state and prove the precise theorem on classication of Ann-categories in the general case based on Mac Lane cohomology of rings.

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