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Hochschild cohomology for nonstandard self-injective algebras of tree class D_n. / Volkov, Yu. V.
в: Journal of Mathematical Sciences, Том 183, № 5, 2012, стр. 600-628.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Hochschild cohomology for nonstandard self-injective algebras of tree class D_n
AU - Volkov, Yu. V.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.1007/s10958-012-0827-y
DO - 10.1007/s10958-012-0827-y
M3 - статья
VL - 183
SP - 600
EP - 628
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 5
ER -
ID: 5492815