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Hochschild Cohomology of Algebras of Dihedral Type. VIII. Hochshild Cohomology Algebra for the Family D(2ℬ)(k, s, 0) in Characteristic 2. / Generalov, A. I.; Kosovskaia, N. Yu.
в: Journal of Mathematical Sciences (United States), Том 243, № 4, 01.12.2019, стр. 535-560.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Hochschild Cohomology of Algebras of Dihedral Type. VIII. Hochshild Cohomology Algebra for the Family D(2ℬ)(k, s, 0) in Characteristic 2
AU - Generalov, A. I.
AU - Kosovskaia, N. Yu
PY - 2019/12/1
Y1 - 2019/12/1
N2 - The Hochschild cohomology algebra for the algebras of dihedral type in the subfamily of the family D(2ℬ), for which the parameter c is equal to 0, are described. The calculation of multiplication in this cohomology algebra, uses the minimal bimodule projective resolution for algebras under consideration, that was constructed in the previous paper of the authors. The obtained results allow to describe the Hochschild cohomology algebra also for algebras with c = 0 in the family D(2A).
AB - The Hochschild cohomology algebra for the algebras of dihedral type in the subfamily of the family D(2ℬ), for which the parameter c is equal to 0, are described. The calculation of multiplication in this cohomology algebra, uses the minimal bimodule projective resolution for algebras under consideration, that was constructed in the previous paper of the authors. The obtained results allow to describe the Hochschild cohomology algebra also for algebras with c = 0 in the family D(2A).
UR - http://www.scopus.com/inward/record.url?scp=85074831637&partnerID=8YFLogxK
U2 - 10.1007/s10958-019-04555-9
DO - 10.1007/s10958-019-04555-9
M3 - Article
AN - SCOPUS:85074831637
VL - 243
SP - 535
EP - 560
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 4
ER -
ID: 51927327