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Bimodule resolution of a group algebra. / Generalov, A. I.; Ivanov, S. O.

в: Journal of Mathematical Sciences, Том 161, № 4, 2009, стр. 537–541.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Generalov, AI & Ivanov, SO 2009, 'Bimodule resolution of a group algebra', Journal of Mathematical Sciences, Том. 161, № 4, стр. 537–541. https://doi.org/10.1007/s10958-009-9590-0

APA

Generalov, A. I., & Ivanov, S. O. (2009). Bimodule resolution of a group algebra. Journal of Mathematical Sciences, 161(4), 537–541. https://doi.org/10.1007/s10958-009-9590-0

Vancouver

Generalov AI, Ivanov SO. Bimodule resolution of a group algebra. Journal of Mathematical Sciences. 2009;161(4):537–541. https://doi.org/10.1007/s10958-009-9590-0

Author

Generalov, A. I. ; Ivanov, S. O. / Bimodule resolution of a group algebra. в: Journal of Mathematical Sciences. 2009 ; Том 161, № 4. стр. 537–541.

BibTeX

@article{5a707063234c4738ae18e3b7bd20380d,
title = "Bimodule resolution of a group algebra",
abstract = "Relationship between the bimodule resolution of the group algebra of a finite group G over a commutative ring and the usual projective resolution of the trivial G-module is studied. In particular, an analog of Happel{\textquoteright}s lemma is proved; this lemma has been established earlier for finite-dimensional algebras over fields. As an example of application of the results, the bimodule resolution is constructed for the integer group ring of the dihedral group of order 4m. Bibliography: 10 titles.",
keywords = "Group algebra, projective resolution, bimodules.",
author = "Generalov, {A. I.} and Ivanov, {S. O.}",
year = "2009",
doi = "10.1007/s10958-009-9590-0",
language = "English",
volume = "161",
pages = "537–541",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Bimodule resolution of a group algebra

AU - Generalov, A. I.

AU - Ivanov, S. O.

PY - 2009

Y1 - 2009

N2 - Relationship between the bimodule resolution of the group algebra of a finite group G over a commutative ring and the usual projective resolution of the trivial G-module is studied. In particular, an analog of Happel’s lemma is proved; this lemma has been established earlier for finite-dimensional algebras over fields. As an example of application of the results, the bimodule resolution is constructed for the integer group ring of the dihedral group of order 4m. Bibliography: 10 titles.

AB - Relationship between the bimodule resolution of the group algebra of a finite group G over a commutative ring and the usual projective resolution of the trivial G-module is studied. In particular, an analog of Happel’s lemma is proved; this lemma has been established earlier for finite-dimensional algebras over fields. As an example of application of the results, the bimodule resolution is constructed for the integer group ring of the dihedral group of order 4m. Bibliography: 10 titles.

KW - Group algebra

KW - projective resolution

KW - bimodules.

U2 - 10.1007/s10958-009-9590-0

DO - 10.1007/s10958-009-9590-0

M3 - Article

VL - 161

SP - 537

EP - 541

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 5492160