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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 1, Pages 57–64
(Mi fpm1701)
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This article is cited in 1 scientific paper (total in 1 paper)
Groups of quotients of semigroups of invertible nonnegative matrices over skewfields
E. I. Bunina, A. V. Mikhalev, V. V. Nemiro Lomonosov Moscow State University
Abstract:
In this paper we prove that for a linearly ordered skewfield the groups of quotients of the semigroup $\mathrm G_n(\mathbb D)$ coincides with the group $\mathrm{GL}_n(\mathbb D)$ for $n \geq 3$.
Citation:
E. I. Bunina, A. V. Mikhalev, V. V. Nemiro, “Groups of quotients of semigroups of invertible nonnegative matrices over skewfields”, Fundam. Prikl. Mat., 21:1 (2016), 57–64; J. Math. Sci., 233:5 (2018), 640–645
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https://www.mathnet.ru/eng/fpm1701 https://www.mathnet.ru/eng/fpm/v21/i1/p57
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Abstract page: | 332 | Full-text PDF : | 120 | References: | 37 |
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