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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - E. I. Bunina
AU  - P. P. Semenov
TI  - Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2008
SP  - 69
EP  - 100
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a3/
LA  - ru
ID  - FPM_2008_14_2_a3
ER  - 
%0 Journal Article
%A E. I. Bunina
%A P. P. Semenov
%T Automorphisms of the semigroup of invertible matrices with nonnegative elements over commutative partially ordered rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2008
%P 69-100
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a3/
%G ru
%F FPM_2008_14_2_a3
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/

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

[2] Ilin S. N., “Obratimye matritsy nad (neassotsiativnymi) antikoltsami”, Universalnaya algebra i eë prilozheniya, Peremena, Volgograd, 2000, 81–89

[3] 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