Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 61-72
Citer cet article
I. Z. Golubchik; A. V. Mikhalev. Isomorphisms of the general linear group over an associative ring. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1983), pp. 61-72. http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a11/
@article{VMUMM_1983_3_a11,
author = {I. Z. Golubchik and A. V. Mikhalev},
title = {Isomorphisms of the general linear group over an associative ring},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {61--72},
year = {1983},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a11/}
}
TY - JOUR
AU - I. Z. Golubchik
AU - A. V. Mikhalev
TI - Isomorphisms of the general linear group over an associative ring
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 61
EP - 72
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a11/
LA - ru
ID - VMUMM_1983_3_a11
ER -
%0 Journal Article
%A I. Z. Golubchik
%A A. V. Mikhalev
%T Isomorphisms of the general linear group over an associative ring
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 61-72
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_3_a11/
%G ru
%F VMUMM_1983_3_a11
It is proved that every isomorphism of linear groups $\varphi\colon\mathrm{GL}_n(R)\to\mathrm{GL}_m(S)$ over arbitrary associative rings $R$ and $S$ with $1/2\in R$ and $1/2\in S$ for $n,m\ge3$ is a standard one on a subgroup $\mathrm{GE}_n(R)$ generated by elementary and diagonal matrices.
