Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
Abstract
Suppose that R is an ordered ring, Gn(R) is a subsemigroup of GLn(R), consisting of all matrices with nonnegative elements. A.V. Mikhalev and M.A. Shatalova described all automorphisms of Gn(R), where R is a linearly ordered skewfield and n>1. E.I. Bunina and A.V. Mikhalev found all automorphisms of Gn(R), if R is an arbitrary linearly ordered associative ring with 1/2, n>2. In this paper we describe automorphisms of Gn(R), if R is a commutative partially ordered ring, containing Q, n>2.
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