FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 7, PAGES 49-60

Automorphisms of the semigroup of nonnegative invertible matrices of order $2$ over rings

E. I. Bunina
L. V. Tupikina

Abstract

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In this paper, we describe automorphisms of the semigroup $G$₂(R) of nonnegative invertible matrices if $R$ is a (not necessarily commutative) partially ordered ring without zero divisors with $1/n$ for some natural number $n\; >\; 1$.

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