Geodesic
Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 69-100

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We describe automorphisms of the semigroup $G_n(R)$ of invertible matrices with nonnegative coefficients in the case where $R$ is a commutative partially ordered ring containing $\mathbb Q$ and $n\ge3$. 
@article{FPM_2008_14_2_a3,
     author = {E. I. Bunina and P. P. Semenov},
     title = {Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {69--100},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a3/}
}
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E. I. Bunina; P. P. Semenov. Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 69-100. http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a3/