FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 2, PAGES 3-23

Automorphisms of the semigroup of invertible matrices with nonnegative elements

E. I. Bunina
A. V. Mikhalev

Abstract

View as HTML     View as gif image

In this paper, we prove that every automorphism of the semigroup of invertible matrices with nonnegative elements over a linearly ordered associative ring on some specially defined subgroup coincides with the composition of an inner automorphism of the semigroup, an order-preserving automorphism of the ring, and a central homothety.

Location: http://mech.math.msu.su/~fpm/eng/k05/k052/k05201h.htm
Last modified: June 9, 2005