Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 3–8 (Mi vmumm4348)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings

V. V. Nemiro

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (328 kB) Citations (3)
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Abstract: Let $R$ be a linearly ordered noncommutative ring with $1/2$ and $G_n(R)$ be the subsemigroup of the group $\mathrm{GL}_n(R)$ consisting of all matrices with nonnegative elements. Endomorphisms of this group are described in the papaer for $n \geqslant 3$.
Key words: noncommutative ring, associative ring, ordered ring, semigroup of invertible nonnegative matrices, endomorphisms.
Received: 17.07.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 5, Pages 181–187
DOI: https://doi.org/10.3103/S0027132220050058
Bibliographic databases:
Document Type: Article
UDC: 512.534.7 + 512.555
Language: Russian
Citation: V. V. Nemiro, “Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5, 3–8; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 181–187
Citation in format AMSBIB
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