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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2018, Number 53, Pages 16–21
DOI: https://doi.org/10.17223/19988621/53/2 (Mi vtgu646) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Group of automorphisms of one class of formal matrix algebras

P. A. Krylov, T. D. Norbosambuev

Tomsk State University, Tomsk, Russian Federation
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DOI: https://doi.org/10.17223/19988621/53/2
Abstract: The structure of the automorphism group of a formal matrix algebra over a commutative ring has been found under certain conditions. The automorphism group of such algebra is a semidirect product of several subgroups consisting of automorphisms with a known structure. This is achieved due to the fact that the formal matrix algebra is represented as a splitting extension of a certain nilpotent ideal by means of the product of ordinary matrix rings.
Keywords: automorphism, formal matrix algebra, semidirect product.
Received: 18.01.2018
Bibliographic databases:
Document Type: Article
UDC: 512.552
MSC: 15A30
Language: Russian
Citation: P. A. Krylov, T. D. Norbosambuev, “Group of automorphisms of one class of formal matrix algebras”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2018, no. 53, 16–21
Citation in format AMSBIB
\Bibitem{KryNor18}
\by P.~A.~Krylov, T.~D.~Norbosambuev
\paper Group of automorphisms of one class of formal matrix algebras
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2018
\issue 53
\pages 16--21
\mathnet{http://mi.mathnet.ru/vtgu646}
\crossref{https://doi.org/10.17223/19988621/53/2}
\elib{https://elibrary.ru/item.asp?id=35122602}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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