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Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2. / Generalov, A. I.; Ivanov, A. A.; Ivanov, S. O.

In: Journal of Mathematical Sciences, Vol. 151, No. 3, 2008, p. 2961–3009.

Research output: Contribution to journal › Article › peer-review

Harvard

Generalov, AI, Ivanov, AA & Ivanov, SO 2008, 'Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2', Journal of Mathematical Sciences, vol. 151, no. 3, pp. 2961–3009. https://doi.org/10.1007/s10958-008-9017-3

APA

Generalov, A. I., Ivanov, A. A., & Ivanov, S. O. (2008). Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2. Journal of Mathematical Sciences, 151(3), 2961–3009. https://doi.org/10.1007/s10958-008-9017-3

Vancouver

Generalov AI, Ivanov AA, Ivanov SO. Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2. Journal of Mathematical Sciences. 2008;151(3):2961–3009. https://doi.org/10.1007/s10958-008-9017-3

Author

Generalov, A. I. ; Ivanov, A. A. ; Ivanov, S. O. / Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2. In: Journal of Mathematical Sciences. 2008 ; Vol. 151, No. 3. pp. 2961–3009.

BibTeX

@article{7154c49c5cdc4dcd9d37d747620f4c77,
title = "Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2",
abstract = "In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family Q(2B)1 over an algebraically closed field with characteristic 2. The 4-periodic bimodule resolution is constructed for the most part of algebras of this family. Using this resolution, the description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration.",
keywords = "Hochschild cohomology, finite-dimensional algebra, algebra of quaternion type, tame algebra",
author = "Generalov, {A. I.} and Ivanov, {A. A.} and Ivanov, {S. O.}",
year = "2008",
doi = "10.1007/s10958-008-9017-3",
language = "English",
volume = "151",
pages = "2961–3009",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2

AU - Generalov, A. I.

AU - Ivanov, A. A.

AU - Ivanov, S. O.

PY - 2008

Y1 - 2008

N2 - In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family Q(2B)1 over an algebraically closed field with characteristic 2. The 4-periodic bimodule resolution is constructed for the most part of algebras of this family. Using this resolution, the description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration.

AB - In the present paper, the Hochschild cohomology is investigated for algebras of quaternion type from the family Q(2B)1 over an algebraically closed field with characteristic 2. The 4-periodic bimodule resolution is constructed for the most part of algebras of this family. Using this resolution, the description in terms of generators and relations is given for the Hochschild cohomology algebra of the algebras under consideration.

KW - Hochschild cohomology

KW - finite-dimensional algebra

KW - algebra of quaternion type

KW - tame algebra

U2 - 10.1007/s10958-008-9017-3

DO - 10.1007/s10958-008-9017-3

M3 - Article

VL - 151

SP - 2961

EP - 3009

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 5492601