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

Maxim Goncharov; Vsevolod Gubarev

doi:10.1080/03081087.2020.1751036

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

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

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.

Язык оригинала	английский
Число страниц	26
Журнал	Linear and Multilinear Algebra
DOI	https://doi.org/10.1080/03081087.2020.1751036
Состояние	Опубликовано - 9 апр 2020

Доступ к документу

10.1080/03081087.2020.1751036

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Rota–Baxter operators of nonzero weight on the matrix algebra of order three». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@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",

year = "2020",

month = apr,

day = "9",

doi = "10.1080/03081087.2020.1751036",

language = "English",

journal = "Linear and Multilinear Algebra",

issn = "0308-1087",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

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

AU - Goncharov, Maxim

AU - Gubarev, Vsevolod

PY - 2020/4/9

Y1 - 2020/4/9

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

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

ER -