Endomorphisms of Semigroups of Invertible Nonnegative Matrices over Ordered Associative Rings

被引：2

作者：

Nemiro, V. V. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow 119234, Russia

来源：

MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2020年 / 75卷 / 05期

关键词：

noncommutative rings; associative rings; ordered rings; semigroup of nonnegative invertible matrices; endomorphisms;

D O I：

10.3103/S0027132220050058

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a linearly ordered noncommutative ring with 1/2 and let G(n)(R) be the subsemigroup of GL(n)(R) consisting of all matrices with nonnegative coefficients. In the paper, endomorphisms of this semigroup are described for n >= 3.

引用

页码：181 / 187

页数：7

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