FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 5, PAGES 165-178

**Endomorphisms of semigroups of invertible nonnegative matrices over
ordered rings**

P. P. Semenov

Abstract

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Let $R$ be
a linearly ordered commutative ring with $1/2$ and $G$_{n}(R) be the
subsemigroup of $GL$_{n}(R) consisting of matrices with nonnegative
elements.
In the paper, we describe endomorphisms of this semigroup for
$n$³
3.

Location: http://mech.math.msu.su/~fpm/eng/k1112/k115/k11511h.htm

Last modified: October 18, 2012