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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 2, Pages 3–23
(Mi fpm811)
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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
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.
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
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Abstract page: | 492 | Full-text PDF : | 156 | References: | 62 | First page: | 1 |
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