FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2013, VOLUME 18, NUMBER 4, PAGES 155-

**Extension of endomorphisms of the subsemigroup
$GE+$**_{2}(R) to
endomorphisms of
$GE+$_{2}(R[x]), where
$R$ is a partially-ordered commutative
ring without zero divisors

O. I. Tsarkov

Abstract

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Let $R$ be
a partially ordered commutative ring without zero divisors,
$G$_{n}(R) be the
subsemigroup of $GL$_{n}(R)
consisting of matrices with nonnegative elements, and $GE+$_{n}(R)
be its subsemigroup generated by elementary transformation matrices,
diagonal matrices, and permutation matrices.
In this paper, we describe in which cases endomorphisms of $GE+$_{2}(R)
can be extended to endomorphisms of $GE+$_{2}(R[x]).

Location: http://mech.math.msu.su/~fpm/eng/k13/k134/k13412h.htm

Last modified: May 13, 2014