Geodesic
Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 3-8

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Let $R$ be a linearly ordered noncommutative ring with $1/2$ and $G_n(R)$ be the subsemigroup of the group $\mathrm{GL}_n(R)$ consisting of all matrices with nonnegative elements. Endomorphisms of this group are described in the papaer for $n \geqslant 3$. 
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     author = {V. V. Nemiro},
     title = {Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
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V. V. Nemiro. Endomorphisms of semigroups of invertible nonnegative matrices over ordered associative rings. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 3-8. http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a0/