Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 7, pp. 49-60
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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/
@article{FPM_2010_16_7_a2,
author = {E. I. Bunina and L. V. Tupikina},
title = {Automorphisms of the semigroup of nonnegative invertible matrices of order~$2$ over rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {49--60},
year = {2010},
volume = {16},
number = {7},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a2/}
}
TY - JOUR
AU - E. I. Bunina
AU - L. V. Tupikina
TI - Automorphisms of the semigroup of nonnegative invertible matrices of order $2$ over rings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2010
SP - 49
EP - 60
VL - 16
IS - 7
UR - http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a2/
LA - ru
ID - FPM_2010_16_7_a2
ER -
%0 Journal Article
%A E. I. Bunina
%A L. V. Tupikina
%T Automorphisms of the semigroup of nonnegative invertible matrices of order $2$ over rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2010
%P 49-60
%V 16
%N 7
%U http://geodesic.mathdoc.fr/item/FPM_2010_16_7_a2/
%G ru
%F FPM_2010_16_7_a2
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 $n>1$.
[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