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Unital decompositions of the matrix algebra of order three. / Gubarev, V.

In: Communications in Algebra, Vol. 49, No. 11, 2021, p. 4980-5005.

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Gubarev V. Unital decompositions of the matrix algebra of order three. Communications in Algebra. 2021;49(11):4980-5005. Epub 2021 Jun 18. doi: 10.1080/00927872.2021.1934690

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Gubarev, V. / Unital decompositions of the matrix algebra of order three. In: Communications in Algebra. 2021 ; Vol. 49, No. 11. pp. 4980-5005.

BibTeX

@article{aa539088e7824a4f8c62e289802fa57d,
title = "Unital decompositions of the matrix algebra of order three",
abstract = "We classify all decompositions of (Formula presented.) into a direct vector–space sum of two subalgebras such that one of the subalgebras contains the identity matrix.",
keywords = "matrix algebra, Sum of rings",
author = "V. Gubarev",
note = "Funding Information: The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2021 Taylor & Francis Group, LLC. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.1080/00927872.2021.1934690",
language = "English",
volume = "49",
pages = "4980--5005",
journal = "Communications in Algebra",
issn = "0092-7872",
publisher = "Taylor and Francis Ltd.",
number = "11",

}

RIS

TY - JOUR

T1 - Unital decompositions of the matrix algebra of order three

AU - Gubarev, V.

N1 - Funding Information: The work is supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1675 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: © 2021 Taylor & Francis Group, LLC. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021

Y1 - 2021

N2 - We classify all decompositions of (Formula presented.) into a direct vector–space sum of two subalgebras such that one of the subalgebras contains the identity matrix.

AB - We classify all decompositions of (Formula presented.) into a direct vector–space sum of two subalgebras such that one of the subalgebras contains the identity matrix.

KW - matrix algebra

KW - Sum of rings

UR - http://www.scopus.com/inward/record.url?scp=85108181872&partnerID=8YFLogxK

U2 - 10.1080/00927872.2021.1934690

DO - 10.1080/00927872.2021.1934690

M3 - Article

AN - SCOPUS:85108181872

VL - 49

SP - 4980

EP - 5005

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 11

ER -

ID: 29233282