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- Title
Hochschild cohomology for nonstandard self-injective algebras of tree class D.
- Authors
Volkov, Yu.
- Abstract
Minimal projective himodule resolutions for nonstandard self-injective algebras of finite representation type are constructed. The dimensions of the Hochschild cohomology groups are calculated, and a description of the Hochschild cohomology algebra in terms of generators with relations is obtained for the algebras under consideration through the instrumentality of these resolutions. The constructed resolutions are periodic, and, accordingly, the Hochschild cohomology for these algebras is periodic as well. Bibliography: 13 titles.
- Subjects
HOMOLOGY theory; ALGEBRAIC topology; GROUP theory; NUMERICAL calculations; FREE resolutions (Algebra); MATHEMATICAL analysis
- Publication
Journal of Mathematical Sciences, 2012, Vol 183, Issue 5, p600
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-012-0827-y