| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597075 | Journal of Pure and Applied Algebra | 2009 | 6 Pages |
Abstract
Suppose BB is an algebra with a stratifying ideal BeBBeB generated by an idempotent ee. We will establish long exact sequences relating the Hochschild cohomology groups of the three algebras BB, B/BeBB/BeB and eBeeBe. This provides a common generalization of various known results, all of which extend Happel’s long exact sequence for one-point extensions. Applying one of these sequences to Hochschild cohomology algebras modulo the ideal generated by homogeneous nilpotent elements shows, in some cases, that these algebras are finitely generated.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Steffen Koenig, Hiroshi Nagase,