Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings

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Bunina, E. I.
Semenov, P. P.
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Abstract
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Suppose that R is an ordered ring, G_n(R) is a subsemigroup of $GL_n(R)$, consisting of all matrices with nonnegative elements. A.V. Mikhalev and M.A. Shatalova described all automorphisms of G_n(R), where R is a linearly ordered skewfield and n>1. E.I. Bunina and A.V. Mikhalev found all automorphisms of G_n(R), if R is an arbitrary linearly ordered associative ring with 1/2, n>2. In this paper we describe automorphisms of G_n(R), if R is a commutative partially ordered ring, containing Q, n>2.
Comment: 30 pages
Keywords
Mathematics - Rings and Algebras, 06F25, 15A48
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