Geodesic
Generalized identities with invertible variables for subrings of artinian rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1101-1105

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

Let $R$ be a prime subring with 1 of the matrix ring $D_k$ over a skew field $D$, $k\geq1$. Suppose that the center $C$ of $R$ is infinite and elements of $C$ belong to the center of $D_k$. Let $G$ be an elementary absolute irreducible subgroup of the group $U(R)$ of invertible elements of $R$ with a nonzero generalized identity with invertible variables $f\in R\langle X,X^{-1}\rangle$, then $R$ is a $PI$-ring. 
@article{FPM_1995_1_4_a19,
     author = {I. Z. Golubchik},
     title = {Generalized identities with invertible variables for subrings of artinian rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1101--1105},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a19/}
}
TY  - JOUR
AU  - I. Z. Golubchik
TI  - Generalized identities with invertible variables for subrings of artinian rings
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 1101
EP  - 1105
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a19/
LA  - ru
ID  - FPM_1995_1_4_a19
ER  - 
%0 Journal Article
%A I. Z. Golubchik
%T Generalized identities with invertible variables for subrings of artinian rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 1101-1105
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a19/
%G ru
%F FPM_1995_1_4_a19
I. Z. Golubchik. Generalized identities with invertible variables for subrings of artinian rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1101-1105. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a19/