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Rota–Baxter Operators on the Simple Jordan Superalgebra Dt Full article

Journal Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260
Output data Year: 2022, Volume: 63, Number: 4, Pages: 637-650 Pages count : 14 DOI: 10.1134/S0037446622040048
Tags 512.554.7; decomposition into a sum of subalgebras; Jordan superalgebra; Rota–Baxter operators
Authors Bolotina T.A. 1 , Gubarev V.Y. 1,2
Affiliations
1 Novosibirsk State University, Novosibirsk, Russian Federation
2 Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

Funding (1)

1 Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok
075-15-2019-1613, 075-15-2022-281

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.
Cite: Bolotina T.A. , Gubarev V.Y.
Rota–Baxter Operators on the Simple Jordan Superalgebra Dt
Siberian Mathematical Journal. 2022. V.63. N4. P.637-650. DOI: 10.1134/S0037446622040048 WOS Scopus РИНЦ OpenAlex
Original: Болотина Т.А. , Губарев В.Ю.
Операторы Роты – Бакстера на простой йордановой супералгебре D_t
Сибирский математический журнал. 2022. Т.63. №4. С.768-782. DOI: 10.33048/smzh.2022.63.404 РИНЦ
Dates:
Submitted: Sep 21, 2021
Accepted: Apr 15, 2022
Published online: Jul 27, 2022
Identifiers:
Web of science: WOS:000831328200004
Scopus: 2-s2.0-85135015342
Elibrary: 53673677
OpenAlex: W4288061039
Citing:
DB Citing
Scopus 1
Web of science 2
OpenAlex 1
Elibrary 1
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