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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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/

[1] Bunina E. I., “Avtomorfizmy polugruppy neotritsatelnykh obratimykh matrits poryadka dva nad chastichno uporyadochennymi kommutativnymi koltsami”, Matem. zametki, 91:1 (2011), 3–12 | MR

[2] Bunina E. I., Mikhalev A. V., “Avtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi elementami”, Fundament. i prikl. matem., 11:2 (2005), 3–23 | MR | Zbl

[3] Bunina E. I., Mikhalev A. V., “Elementarnaya ekvivalentnost polugruppy obratimykh matrits s neotritsatelnymi elementami”, Fundament. i prikl. matem., 12:2 (2006), 39–53 | MR

[4] Bunina E. I., Semenov P. P., “Avtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi elementami nad chastichno uporyadochennymi koltsami”, Fundament. i prikl. matem., 14:2 (2008), 69–100

[5] Bunina E. I., Semenov P. P., “Elementarnaya ekvivalentnost polugruppy obratimykh matrits s neotritsatelnymi elementami nad chastichno uporyadochennymi koltsami”, Fundament. i prikl. matem., 14:4 (2008), 75–85

[6] Mikhalev A. V., Shatalova M. A., “Avtomorfizmy i antiavtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi elementami”, Matem. sb., 81:4 (1970), 600–609 | Zbl

[7] Nemiro V. V., “Endomorfizmy polugrupp obratimykh neotritsatelnykh matrits nad uporyadochennymi nekommutativnymi koltsami”, Fundament. i prikl. matem. (to appear)

[8] Semenov P. P., “Avtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi tselymi elementami”, Matem. sb., 203:9 (2012), 117–132 | MR | Zbl

[9] Semenov P. P., “Endomorfizmy polugrupp obratimykh neotritsatelnykh matrits nad uporyadochennymi koltsami”, Fundament. i prikl. matem., 17:5 (2012), 165–178