Rota–Baxter operators of nonzero weight on the matrix algebra of order three

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Rota–Baxter operators of nonzero weight on the matrix algebra of order three. / Goncharov, Maxim ; Gubarev, Vsevolod.

в: Linear and Multilinear Algebra, Том 70, № 6, 2022, стр. 1055-1080.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{b56b5ac484964d549b544b618d163f89,

title = "Rota–Baxter operators of nonzero weight on the matrix algebra of order three",

abstract = "We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.",

keywords = "16W99, matrix algebra, Rota–Baxter operator, sum of fields, Rota-Baxter operator, EQUATION, BIALGEBRAS",

author = "Maxim Goncharov and Vsevolod Gubarev",

note = "Publisher Copyright: {\textcopyright} 2020 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2022",

doi = "10.1080/03081087.2020.1751036",

language = "English",

volume = "70",

pages = "1055--1080",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

number = "6",

}

RIS

TY - JOUR

T1 - Rota–Baxter operators of nonzero weight on the matrix algebra of order three

AU - Goncharov, Maxim

AU - Gubarev, Vsevolod

PY - 2022

Y1 - 2022

N2 - We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

AB - We classify all Rota–Baxter operators of nonzero weight on the matrix algebra of order three over an algebraically closed field of characteristic zero which do not arise from the decompositions of the entire algebra into a direct vector space sum of two subalgebras.

KW - 16W99

KW - matrix algebra

KW - Rota–Baxter operator

KW - sum of fields

KW - Rota-Baxter operator

KW - EQUATION

KW - BIALGEBRAS

UR - http://www.scopus.com/inward/record.url?scp=85083551331&partnerID=8YFLogxK

U2 - 10.1080/03081087.2020.1751036

DO - 10.1080/03081087.2020.1751036

M3 - Article

AN - SCOPUS:85083551331

VL - 70

SP - 1055

EP - 1080

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

IS - 6

ER -

ID: 24093496