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Mathematics of the USSR-Sbornik, 1970, Volume 10, Issue 4, Pages 547–555
DOI: https://doi.org/10.1070/SM1970v010n04ABEH001680 (Mi sm3387) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Automorphisms and anti-automorphisms of a semigroup of invertible matrices with nonnegative elements

A. V. Mikhalev, M. A. Shatalova
English version PDF (538 kB) Citations (22) Russian version article
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DOI: https://doi.org/10.1070/SM1970v010n04ABEH001680
Abstract: The article describes the automorphisms and anti-automorphisms of the semigroup $G_n(R)$ of all invertible matrices with nonnegative elements over an ordered skew field. It is shown that every automorphism is the product of a certain number (three or four) automorphisms of special type.
Bibliography: 7 titles.
Received: 30.06.1969
Bibliographic databases:
Document Type: Article
UDC: 519.47+512.86
MSC: 20F28, 20H20, 20Mxx, 15A21, 20F29
Language: English
Original paper language: Russian
Citation: A. V. Mikhalev, M. A. Shatalova, “Automorphisms and anti-automorphisms of a semigroup of invertible matrices with nonnegative elements”, Math. USSR-Sb., 10:4 (1970), 547–555
Citation in format AMSBIB
\Bibitem{MikSha70}
\by A.~V.~Mikhalev, M.~A.~Shatalova
\paper Automorphisms and anti-automorphisms of a~semigroup of invertible matrices with nonnegative elements
\jour Math. USSR-Sb.
\yr 1970
\vol 10
\issue 4
\pages 547--555
\mathnet{http://mi.mathnet.ru//eng/sm3387}
\crossref{https://doi.org/10.1070/SM1970v010n04ABEH001680}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=260887}
\zmath{https://zbmath.org/?q=an:0206.30502}
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  • https://www.mathnet.ru/eng/sm/v123/i4/p600
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:534
    Russian version PDF:181
    English version PDF:15
    References:64
    First page:2
     
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