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On the construction of bimodule resolutions with the help of the Happel lemma. / Volkov, Yu. V.; Generalov, A. I.; Ivanov, S. O.

в: Journal of Mathematical Sciences, Том 171, № 3, 2010, стр. 338-343.

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Volkov, Yu. V. ; Generalov, A. I. ; Ivanov, S. O. / On the construction of bimodule resolutions with the help of the Happel lemma. в: Journal of Mathematical Sciences. 2010 ; Том 171, № 3. стр. 338-343.

BibTeX

@article{b64e4ee8ec4b452eaafdd985e838f36b,
title = "On the construction of bimodule resolutions with the help of the Happel lemma",
abstract = "A criterion for the sequence obtained with the help of Happel{\textquoteright}s lemma to be a minimal bimodule projective resolution is proved. This criterion is used to construct a bimodule resolution for a family of self-injective algebras of tree class D 4. Bibliography: 6 titles.",
keywords = "Projective resolution, finite-dimensional algebra, Happel's lemma",
author = "Volkov, {Yu. V.} and Generalov, {A. I.} and Ivanov, {S. O.}",
year = "2010",
doi = "10.1007/s10958-010-0139-z",
language = "English",
volume = "171",
pages = "338--343",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - On the construction of bimodule resolutions with the help of the Happel lemma

AU - Volkov, Yu. V.

AU - Generalov, A. I.

AU - Ivanov, S. O.

PY - 2010

Y1 - 2010

N2 - A criterion for the sequence obtained with the help of Happel’s lemma to be a minimal bimodule projective resolution is proved. This criterion is used to construct a bimodule resolution for a family of self-injective algebras of tree class D 4. Bibliography: 6 titles.

AB - A criterion for the sequence obtained with the help of Happel’s lemma to be a minimal bimodule projective resolution is proved. This criterion is used to construct a bimodule resolution for a family of self-injective algebras of tree class D 4. Bibliography: 6 titles.

KW - Projective resolution

KW - finite-dimensional algebra

KW - Happel's lemma

U2 - 10.1007/s10958-010-0139-z

DO - 10.1007/s10958-010-0139-z

M3 - Article

VL - 171

SP - 338

EP - 343

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 5492362