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

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dc.creatorBunina, E. I.
dc.creatorSemenov, P. P.
dc.date2007-11-04
dc.date.accessioned2026-07-07T08:40:37Z
dc.date.available2026-07-07T08:40:37Z
dc.descriptionSuppose 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.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0711.0532
dc.identifierhttp://arxiv.org/abs/0711.0532
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141423
dc.subjectRings and Algebras
dc.subject06F25; 15A48
dc.titleAutomorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
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