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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2021, Number 74, Pages 30–42
DOI: https://doi.org/10.17223/19988621/74/4 (Mi vtgu885) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Matrix representation of endomorphisms of primary groups of small ranks

A. Yu. Stepanova, E. A. Timoshenko

Tomsk State University, Tomsk, Russian Federation
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DOI: https://doi.org/10.17223/19988621/74/4
Abstract: For endomorphism rings of finite primary Abelian groups of rank 2 and 3, generalized matrix rings isomorphic to them are constructed. In each of these matrix rings, necessary and sufficient conditions for the invertibility of matrices are found, as well as formulas for constructing the inverse matrix.
Keywords: primary group, endomorphism ring, generalized matrix ring, inverse matrix.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1392
This work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2021-1392).
Received: 09.08.2021
Bibliographic databases:
Document Type: Article
UDC: 512.541
MSC: 16S50
Language: Russian
Citation: A. Yu. Stepanova, E. A. Timoshenko, “Matrix representation of endomorphisms of primary groups of small ranks”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2021, no. 74, 30–42
Citation in format AMSBIB
\Bibitem{SteTim21}
\by A.~Yu.~Stepanova, E.~A.~Timoshenko
\paper Matrix representation of endomorphisms of primary groups of small ranks
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2021
\issue 74
\pages 30--42
\mathnet{http://mi.mathnet.ru/vtgu885}
\crossref{https://doi.org/10.17223/19988621/74/4}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Томского государственного университета. Математика и механика
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