On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules

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On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules. / Generalov, A. I.; Zaikovskii, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 232, No. 5, 08.2018, p. 635-646.

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Author

Generalov, A. I. ; Zaikovskii, A. A. / On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules. In: Journal of Mathematical Sciences (United States). 2018 ; Vol. 232, No. 5. pp. 635-646.

BibTeX

@article{023dcd6f263946a9b664fd84f929e2cc,

title = "On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules",

abstract = "The Hochschild cohomology groups of degrees not exceeding 3 are computed for algebras of semidihedral type that form the family SD(2B)1 (from the famous K. Erdmann{\textquoteright}s classification). In the calculation, the beforehand construction of the initial part of the minimal projective bimodule resolution is used for algebras from the family under discussion. The obtained results imply that the algebras from the families SD(2B)1 and SD(2B)2 with the same parameters in defining relations are not derived equivalent.",

author = "Generalov, {A. I.} and Zaikovskii, {A. A.}",

note = "Generalov, A.I., Zaikovskii, A.A. On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules. J Math Sci 232, 635–646 (2018). https://doi.org/10.1007/s10958-018-3894-x",

year = "2018",

month = aug,

doi = "10.1007/s10958-018-3894-x",

language = "English",

volume = "232",

pages = "635--646",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "5",

}

RIS

TY - JOUR

T1 - On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules

AU - Generalov, A. I.

AU - Zaikovskii, A. A.

N1 - Generalov, A.I., Zaikovskii, A.A. On Derived Equivalence of Algebras of Semidihedral Type with Two Simple Modules. J Math Sci 232, 635–646 (2018). https://doi.org/10.1007/s10958-018-3894-x

PY - 2018/8

Y1 - 2018/8

N2 - The Hochschild cohomology groups of degrees not exceeding 3 are computed for algebras of semidihedral type that form the family SD(2B)1 (from the famous K. Erdmann’s classification). In the calculation, the beforehand construction of the initial part of the minimal projective bimodule resolution is used for algebras from the family under discussion. The obtained results imply that the algebras from the families SD(2B)1 and SD(2B)2 with the same parameters in defining relations are not derived equivalent.

AB - The Hochschild cohomology groups of degrees not exceeding 3 are computed for algebras of semidihedral type that form the family SD(2B)1 (from the famous K. Erdmann’s classification). In the calculation, the beforehand construction of the initial part of the minimal projective bimodule resolution is used for algebras from the family under discussion. The obtained results imply that the algebras from the families SD(2B)1 and SD(2B)2 with the same parameters in defining relations are not derived equivalent.

UR - http://www.scopus.com/inward/record.url?scp=85048504097&partnerID=8YFLogxK

U2 - 10.1007/s10958-018-3894-x

DO - 10.1007/s10958-018-3894-x

M3 - Article

AN - SCOPUS:85048504097

VL - 232

SP - 635

EP - 646

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 51927532