Automorphisms of the semigroup of invertible matrices with nonnegative elements
Rings and Algebras
2007-05-23 v1
Abstract
In this paper we prove that every automorphism of the semigroup of invertible matrices with nonnegative elements over a linearly oredered associative ring on some specially defined subgroup concides with the composition of an inner automorphism of the semigroup, an automorphism of the ring preserving the order, and a central homothety.
Keywords
Cite
@article{arxiv.math/0608121,
title = {Automorphisms of the semigroup of invertible matrices with nonnegative elements},
author = {Elena I. Bunina and Alexandr V. Mikhalev},
journal= {arXiv preprint arXiv:math/0608121},
year = {2007}
}
Comments
16 pages