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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 2, Pages 39–53 (Mi fpm933)  
This article is cited in 11 scientific papers (total in 11 papers)

Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina, A. V. Mikhalev

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (166 kB) Citations (11)
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Abstract: In this paper, we prove that the semigroups of invertible matrices with nonnegative elements over linearly ordered associative rings are elementarily equivalent if and only if the matrices have the same dimension and the rings are elementarily equivalent as ordered rings.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 149, Issue 2, Pages 1063–1073
DOI: https://doi.org/10.1007/s10958-008-0045-9
Bibliographic databases:
UDC: 512.534.7+510.67
Language: Russian
Citation: E. I. Bunina, A. V. Mikhalev, “Elementary equivalence of the semigroup of invertible matrices with nonnegative elements”, Fundam. Prikl. Mat., 12:2 (2006), 39–53; J. Math. Sci., 149:2 (2008), 1063–1073
Citation in format AMSBIB
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\by E.~I.~Bunina, A.~V.~Mikhalev
\paper Elementary equivalence of the semigroup of invertible matrices with nonnegative elements
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 2
\pages 39--53
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2249691}
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\transl
\jour J. Math. Sci.
\yr 2008
\vol 149
\issue 2
\pages 1063--1073
\crossref{https://doi.org/10.1007/s10958-008-0045-9}
\elib{https://elibrary.ru/item.asp?id=13573101}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38549148306}
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  • https://www.mathnet.ru/eng/fpm/v12/i2/p39
    • This publication is cited in the following 11 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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    Full-text PDF :143
    References:83
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