Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
Rings and Algebras
2007-11-06 v1
Abstract
Suppose that R is an ordered ring, G_n(R) is a subsemigroup of , 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.
Keywords
Cite
@article{arxiv.0711.0532,
title = {Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings},
author = {E. I. Bunina and P. P. Semenov},
journal= {arXiv preprint arXiv:0711.0532},
year = {2007}
}
Comments
30 pages