Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The Hochschild cohomology groups are calculated for algebras of dihedral type in the series D(2B)(k, s, c) (in accordance with K. Erdmann's classification) in the case where the parameter c ∈ K occurring in the defining relations for this series equals 1. The calculations involve the bimodule resolvent for the algebras of this type, which is also constructed in the present paper. The results are applied to refine Erdmann's classification, specifically, it is proved that algebras corresponding to different values of c represent different classes of derived equivalence, and, in particular, different classes of Morita-equivalence.
Язык оригинала | английский |
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Страницы (с-по) | 923-940 |
Журнал | St. Petersburg Mathematical Journal |
Том | 27 |
Номер выпуска | 6 |
DOI | |
Состояние | Опубликовано - 1 янв 2016 |
ID: 51927696