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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2013 Volume 18, Issue 1, Pages 181–204 (Mi fpm1494)

This article is cited in 3 papers

Endomorphisms of the semigroup $G_2(R)$ over partially ordered commutative rings without zero divisors and with $1/2$

O. I. Tsarkov

Lomonosov Moscow State University, Moscow, Russia

Abstract: Let $R$ be a partially ordered commutative ring without zero divisors and with $1/2$. Let $G_n(R)$ be the subsemigroup of $\mathrm{GL}_n(R)$ consisting of matrices with nonnegative elements. In the paper, we describe endomorphisms of this semigroup for $n=2$.

UDC: 512.55+512.64


 English version:
Journal of Mathematical Sciences (New York), 2014, 201:4, 534–551

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© Steklov Math. Inst. of RAS, 2026