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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 изданияхстатьяРецензирование

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Volkov, Yu. V. / Hochschild cohomology for nonstandard self-injective algebras of tree class D_n. в: Journal of Mathematical Sciences. 2012 ; Том 183, № 5. стр. 600-628.

BibTeX

@article{16f588e464f54d77a715c052f05fc07b,
title = "Hochschild cohomology for nonstandard self-injective algebras of tree class D_n",
abstract = "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.",
author = "Volkov, {Yu. V.}",
year = "2012",
doi = "10.1007/s10958-012-0827-y",
language = "не определен",
volume = "183",
pages = "600--628",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

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