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Hochschild cohomology for algebras of dihedral type. Iv. the family D(2β)(k,s,0). / Generalov, A. I.; Kosovskaya, N. Yu.
в: Journal of Mathematical Sciences (United States), Том 209, № 4, 2015, стр. 522-548.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Hochschild cohomology for algebras of dihedral type. Iv. the family D(2β)(k,s,0)
AU - Generalov, A. I.
AU - Kosovskaya, N. Yu.
N1 - Generalov, A.I., Kosovskaya, N.Y. Hochschild Cohomology for Algebras of Dihedral Type. IV. The family D(2B)(k, s, 0). J Math Sci 209, 522–548 (2015). https://doi.org/10.1007/s10958-015-2510-6
PY - 2015
Y1 - 2015
N2 - The Hochschild cohomology groups for algebras of dihedral type that lie in the family D(2β)(k,s,c) (in the famous K. Erdmann’s classification) are computed in the case where the parameter c included in the defining relations of algebras from this family is equal to zero. The calculation relies upon the construction of a bimodule resolution for algebras from the above family.
AB - The Hochschild cohomology groups for algebras of dihedral type that lie in the family D(2β)(k,s,c) (in the famous K. Erdmann’s classification) are computed in the case where the parameter c included in the defining relations of algebras from this family is equal to zero. The calculation relies upon the construction of a bimodule resolution for algebras from the above family.
KW - Vector Space
KW - Cohomology Group
KW - Short Exact Sequence
KW - Tree Class
KW - Local Algebra
UR - http://www.scopus.com/inward/record.url?scp=84943362773&partnerID=8YFLogxK
U2 - 10.1007/s10958-015-2510-6
DO - 10.1007/s10958-015-2510-6
M3 - Article
AN - SCOPUS:84943362773
VL - 209
SP - 522
EP - 548
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 4
ER -
ID: 51927807