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.

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Last modified: October 18, 2012