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One-Generated Nilpotent Bicommutative Algebras. / Kaygorodov, Ivan; Páez-Guillán, Pilar; Voronin, Vasily.

In: Algebra Colloquium, Vol. 29, No. 3, 01.09.2022, p. 453-474.

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

Harvard

Kaygorodov, I, Páez-Guillán, P & Voronin, V 2022, 'One-Generated Nilpotent Bicommutative Algebras', Algebra Colloquium, vol. 29, no. 3, pp. 453-474. https://doi.org/10.1142/S1005386722000359

APA

Kaygorodov, I., Páez-Guillán, P., & Voronin, V. (2022). One-Generated Nilpotent Bicommutative Algebras. Algebra Colloquium, 29(3), 453-474. https://doi.org/10.1142/S1005386722000359

Vancouver

Kaygorodov I, Páez-Guillán P, Voronin V. One-Generated Nilpotent Bicommutative Algebras. Algebra Colloquium. 2022 Sept 1;29(3):453-474. doi: 10.1142/S1005386722000359

Author

Kaygorodov, Ivan ; Páez-Guillán, Pilar ; Voronin, Vasily. / One-Generated Nilpotent Bicommutative Algebras. In: Algebra Colloquium. 2022 ; Vol. 29, No. 3. pp. 453-474.

BibTeX

@article{526b8b9cbd4e4f2eb6bbf1489acb3ae8,
title = "One-Generated Nilpotent Bicommutative Algebras",
abstract = "We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras. ",
keywords = "algebraic classification, bicommutative algebras, central extension, nilpotent algebras",
author = "Ivan Kaygorodov and Pilar P{\'a}ez-Guill{\'a}n and Vasily Voronin",
note = "Funding Information: This work was supported by FAPESP 2019/03655-4, CNPq 302980/2019-9, RFBR 20-01-00030, MTM2016-79661-P, AP08052405 of MES RK, FPU scholarship (Spain), and FCT UIDB/00212/2020 and UIDP/00212/2020. The second author was supported by the Austrian Science Foundation FWF, grant P 33811-N, by Agencia Estatal de Investigaci{\'o}n (Spain), grant PID2020-115155GB-I00 (European FEDER support included, UE), and by Xunta de Galicia, grant ED431C 2019/10 (European FEDER support included, UE). Publisher Copyright: {\textcopyright} 2022 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.",
year = "2022",
month = sep,
day = "1",
doi = "10.1142/S1005386722000359",
language = "English",
volume = "29",
pages = "453--474",
journal = "Algebra Colloquium",
issn = "1005-3867",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "3",

}

RIS

TY - JOUR

T1 - One-Generated Nilpotent Bicommutative Algebras

AU - Kaygorodov, Ivan

AU - Páez-Guillán, Pilar

AU - Voronin, Vasily

N1 - Funding Information: This work was supported by FAPESP 2019/03655-4, CNPq 302980/2019-9, RFBR 20-01-00030, MTM2016-79661-P, AP08052405 of MES RK, FPU scholarship (Spain), and FCT UIDB/00212/2020 and UIDP/00212/2020. The second author was supported by the Austrian Science Foundation FWF, grant P 33811-N, by Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00 (European FEDER support included, UE), and by Xunta de Galicia, grant ED431C 2019/10 (European FEDER support included, UE). Publisher Copyright: © 2022 Academy of Mathematics and Systems Science, Chinese Academy of Sciences.

PY - 2022/9/1

Y1 - 2022/9/1

N2 - We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras.

AB - We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras.

KW - algebraic classification

KW - bicommutative algebras

KW - central extension

KW - nilpotent algebras

UR - http://www.scopus.com/inward/record.url?scp=85135125558&partnerID=8YFLogxK

U2 - 10.1142/S1005386722000359

DO - 10.1142/S1005386722000359

M3 - Article

AN - SCOPUS:85135125558

VL - 29

SP - 453

EP - 474

JO - Algebra Colloquium

JF - Algebra Colloquium

SN - 1005-3867

IS - 3

ER -

ID: 36744151