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arXiv · 0711.0532

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

E. I. Bunina·P. P. Semenov
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Abstract

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.

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E. I. Bunina, P. P. Semenov. 2007-11-04. Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings. https://arxiv.org/abs/0711.0532

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