Endomorphisms of Semigroups of Invertible Nonnegative Matrices over Ordered Associative Rings
V. V. Nemiro · Moscow University Mathematics Bulletin · 2020
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 $$n\geqslant 3$$ .