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

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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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     author = {E. Bunina and K. Sosov},
     title = {Endomorphisms of the semigroup of nonnegative invertible matrices of order two over commutative ordered rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {39--53},
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     volume = {23},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2021_23_4_a2/}
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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/