Abstract

Let \(R\) be a linearly ordered noncommutative ring with \(1/2\) and let \(G_{n}(R)\) be the subsemigroup of \(\mathrm{GL}_{n}(R)\) consisting of all matrices with nonnegative coefficients. In the paper, endomorphisms of this semigroup are described for \(n\geqslant 3\).

中文翻译：

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有序环上可逆非负矩阵半群的同态

摘要

令\（R \）为具有\（1/2 \）的线性有序非交换环，令\（G_ {n}（R）\）为\（\ mathrm {GL} _ {n}（R ）\）由具有非负系数的所有矩阵组成。在本文中，针对\（n \ geqslant 3 \）描述了该半群的同态。