FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 39-53

**Elementary equivalence 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 the semigroups of invertible matrices
with nonnegative elements over linearly ordered associative rings are
elementarily equivalent if and only if the matrices have the same
dimension and the rings are elementarily equivalent as ordered rings.

Location: http://mech.math.msu.su/~fpm/eng/k06/k062/k06202h.htm

Last modified: June 17, 2006