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Rota–Baxter Operators on the Simple Jordan Superalgebra Dt. / Bolotina, T. A.; Gubarev, V. Yu.

In: Siberian Mathematical Journal, Vol. 63, No. 4, 07.2022, p. 637-650.

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

Harvard

Bolotina, TA & Gubarev, VY 2022, 'Rota–Baxter Operators on the Simple Jordan Superalgebra Dt', Siberian Mathematical Journal, vol. 63, no. 4, pp. 637-650. https://doi.org/10.1134/S0037446622040048

APA

Bolotina, T. A., & Gubarev, V. Y. (2022). Rota–Baxter Operators on the Simple Jordan Superalgebra Dt. Siberian Mathematical Journal, 63(4), 637-650. https://doi.org/10.1134/S0037446622040048

Vancouver

Bolotina TA, Gubarev VY. Rota–Baxter Operators on the Simple Jordan Superalgebra Dt. Siberian Mathematical Journal. 2022 Jul;63(4):637-650. doi: 10.1134/S0037446622040048

Author

Bolotina, T. A. ; Gubarev, V. Yu. / Rota–Baxter Operators on the Simple Jordan Superalgebra Dt. In: Siberian Mathematical Journal. 2022 ; Vol. 63, No. 4. pp. 637-650.

BibTeX

@article{de8ba571825b470493830695ab77c0f1,
title = "Rota–Baxter Operators on the Simple Jordan Superalgebra Dt",
abstract = "Up to conjugation by an automorphism, we describethe Rota–Baxter operators of weight zero or nonzeroon the simple four-dimensional Jordan superalgebra $ D_{t} $over an algebraically closed field of characteristic 0.The description includes the classification of all decompositions of $ D_{t} $into a direct sum of two subalgebras.",
keywords = "512.554.7, decomposition into a sum of subalgebras, Jordan superalgebra, Rota–Baxter operators",
author = "Bolotina, {T. A.} and Gubarev, {V. Yu}",
note = "Funding Information: The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 on April 5, 2022 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = jul,
doi = "10.1134/S0037446622040048",
language = "English",
volume = "63",
pages = "637--650",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "4",

}

RIS

TY - JOUR

T1 - Rota–Baxter Operators on the Simple Jordan Superalgebra Dt

AU - Bolotina, T. A.

AU - Gubarev, V. Yu

N1 - Funding Information: The work is supported by the Mathematical Center in Akademgorodok under Agreement 075–15–2022–282 on April 5, 2022 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: © 2022, Pleiades Publishing, Ltd.

PY - 2022/7

Y1 - 2022/7

N2 - Up to conjugation by an automorphism, we describethe Rota–Baxter operators of weight zero or nonzeroon the simple four-dimensional Jordan superalgebra $ D_{t} $over an algebraically closed field of characteristic 0.The description includes the classification of all decompositions of $ D_{t} $into a direct sum of two subalgebras.

AB - Up to conjugation by an automorphism, we describethe Rota–Baxter operators of weight zero or nonzeroon the simple four-dimensional Jordan superalgebra $ D_{t} $over an algebraically closed field of characteristic 0.The description includes the classification of all decompositions of $ D_{t} $into a direct sum of two subalgebras.

KW - 512.554.7

KW - decomposition into a sum of subalgebras

KW - Jordan superalgebra

KW - Rota–Baxter operators

UR - http://www.scopus.com/inward/record.url?scp=85135015342&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/b140af91-6cb8-3e69-b973-d26143d7e504/

U2 - 10.1134/S0037446622040048

DO - 10.1134/S0037446622040048

M3 - Article

AN - SCOPUS:85135015342

VL - 63

SP - 637

EP - 650

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 36729072