Geodesic
Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2021) no. 4, pp. 39-53 
E. Bunina; K. Sosov. Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 23 (2021) no. 4, pp. 39-53. http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $R$ be a linearly ordered commutative ring with $1/2$ generated by its invertible elements, $G_2(R)$ be the subsemigroup in $\mathrm{GL}_2(R)$ consisting of all matrices with nonnegative elements. In this paper, we describe endomorphisms of the given semigroup.

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