Hochschild cohomology and “smoothness” in monoidal categories |
| |
| Authors: | A. Ardizzoni C. Menini D. ?tefan |
| |
| Affiliation: | a University of Ferrara, Department of Mathematics, Via Machiavelli 35, Ferrara, I-44100, Italy
b University of Bucharest, Faculty of Mathematics, Str. Academiei 14, Bucharest, Ro-70109, Romania |
| |
| Abstract: | We introduce and investigate the properties of Hochschild cohomology of algebras in an abelian monoidal category M. We show that the second Hochschild cohomology group of an algebra in M classifies extensions of A up to an equivalence. We characterize algebras of Hochschild dimension 0 (separable algebras), and of Hochschild dimension ≤1 (formally smooth algebras). Several particular cases and applications are included in the last section of the paper. |
| |
| Keywords: | primary 16 secondary 16 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
