On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules
- Авторы: Generalov A.1, Zaikovskii A.1
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Учреждения:
- St.Petersburg State University
- Выпуск: Том 232, № 5 (2018)
- Страницы: 635-646
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241379
- DOI: https://doi.org/10.1007/s10958-018-3894-x
- ID: 241379
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Аннотация
The Hochschild cohomology groups of degrees not exceeding 3 are computed for algebras of semidihedral type that form the family SD(2B)1 (from the famous K. Erdmann’s classification). In the calculation, the beforehand construction of the initial part of the minimal projective bimodule resolution is used for algebras from the family under discussion. The obtained results imply that the algebras from the families SD(2B)1 and SD(2B)2 with the same parameters in defining relations are not derived equivalent.
Об авторах
A. Generalov
St.Petersburg State University
Автор, ответственный за переписку.
Email: ageneralov@gmail.com
Россия, St.Petersburg
A. Zaikovskii
St.Petersburg State University
Email: ageneralov@gmail.com
Россия, St.Petersburg