| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597881 | Journal of Pure and Applied Algebra | 2007 | 34 Pages |
Abstract
We introduce and investigate the properties of Hochschild cohomology of algebras in an abelian monoidal category MM. We show that the second Hochschild cohomology group of an algebra in MM classifies extensions of AA up to an equivalence. We characterize algebras of Hochschild dimension 0 (separable algebras), and of Hochschild dimension ≤1≤1 (formally smooth algebras). Several particular cases and applications are included in the last section of the paper.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Ardizzoni, C. Menini, D. Ştefan,