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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 2, Pages 3–23 (Mi fpm811)  
This article is cited in 16 scientific papers (total in 16 papers)

Automorphisms of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina, A. V. Mikhalev

M. V. Lomonosov Moscow State University
Full-text PDF (211 kB) Citations (16)
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Abstract: In this paper, we prove that every automorphism of the semigroup of invertible matrices with nonnegative elements over a linearly ordered associative ring on some specially defined subgroup coincides with the composition of an inner automorphism of the semigroup, an order-preserving automorphism of the ring, and a central homothety.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 142, Issue 2, Pages 1867–1882
DOI: https://doi.org/10.1007/s10958-007-0094-5
Bibliographic databases:
UDC: 512.643+512.552.2
Language: Russian
Citation: E. I. Bunina, A. V. Mikhalev, “Automorphisms of the semigroup of invertible matrices with nonnegative elements”, Fundam. Prikl. Mat., 11:2 (2005), 3–23; J. Math. Sci., 142:2 (2007), 1867–1882
Citation in format AMSBIB
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\by E.~I.~Bunina, A.~V.~Mikhalev
\paper Automorphisms of the semigroup of invertible matrices with nonnegative elements
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 2
\pages 3--23
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\transl
\jour J. Math. Sci.
\yr 2007
\vol 142
\issue 2
\pages 1867--1882
\crossref{https://doi.org/10.1007/s10958-007-0094-5}
\elib{https://elibrary.ru/item.asp?id=13552406}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947364848}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    References:62
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