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Sbornik: Mathematics, 2012, Volume 203, Issue 9, Pages 1342–1356
DOI: https://doi.org/10.1070/SM2012v203n09ABEH004267 (Mi sm7776) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Automorphisms of semigroups of invertible matrices with nonnegative integer elements

P. P. Semenov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (294 kB) Citations (9)
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DOI: https://doi.org/10.1070/SM2012v203n09ABEH004267
Abstract: Let $G_n(\mathbb Z)$ be the subsemigroup of $\operatorname{GL}_n(\mathbb Z)$ consisting of the matrices with nonnegative integer coefficients. In the paper, the automorphisms of this semigroup are described for $n\geqslant 2$.
Bibliography: 5 titles.
Keywords: matrices with nonnegative coefficients, automorphisms, integers.
Received: 02.08.2010 and 08.04.2012
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 9, Pages 117–132
DOI: https://doi.org/10.4213/sm7776
Bibliographic databases:
Document Type: Article
UDC: 512.643+512.555
MSC: Primary 20M15; Secondary 20M10
Language: English
Original paper language: Russian
Citation: P. P. Semenov, “Automorphisms of semigroups of invertible matrices with nonnegative integer elements”, Mat. Sb., 203:9 (2012), 117–132; Sb. Math., 203:9 (2012), 1342–1356
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:366
    Russian version PDF:208
    English version PDF:17
    References:46
    First page:17
     
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