Geodesic
Automorphisms of the semigroup of nonnegative invertible matrices of order~$2$ over rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 49-60.

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In this paper, we describe automorphisms of the semigroup $\mathrm G_2(R)$ of nonnegative invertible matrices if $R$ is a (not necessarily commutative) partially ordered ring without zero divisors with $1/n$ for some natural number $n>1$. 
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     author = {E. I. Bunina and L. V. Tupikina},
     title = {Automorphisms of the semigroup of nonnegative invertible matrices of order~$2$ over rings},
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E. I. Bunina; L. V. Tupikina. Automorphisms of the semigroup of nonnegative invertible matrices of order~$2$ over rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 49-60. http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a2/

[1] Bunina E. I., “Avtomorfizmy polugruppy obratimykh matrits poryadka 2 s neotritsatelnymi elementami nad chastichno uporyadochennymi kommutativnymi koltsami”, Mat. zametki (to appear)

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

[3] Bunina E. I., Semënov P. P., “Avtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi elementami nad chastichno uporyadochennymi kommutativnymi koltsami”, Fundament. i prikl. mat., 14:2 (2008), 69–100 | MR | Zbl

[4] Mikhalëv A. V., Shatalova M. A., “Avtomorfizmy i antiavtomorfizmy polugruppy obratimykh matrits s neotritsatelnymi elementami”, Mat. sb., 81(123):4 (1970), 600–609 | MR | Zbl