Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 315-317
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K. Sonin. Regular rings of Laurent series. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 1, pp. 315-317. http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a20/
@article{FPM_1995_1_1_a20,
author = {K. Sonin},
title = {Regular rings of {Laurent} series},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {315--317},
year = {1995},
volume = {1},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a20/}
}
TY - JOUR
AU - K. Sonin
TI - Regular rings of Laurent series
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1995
SP - 315
EP - 317
VL - 1
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a20/
LA - ru
ID - FPM_1995_1_1_a20
ER -
%0 Journal Article
%A K. Sonin
%T Regular rings of Laurent series
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 315-317
%V 1
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_1_a20/
%G ru
%F FPM_1995_1_1_a20
The following conditions for the ring $A((x))$ of Laurent series over a ring $A$ are equivalent: 1) $A((x))$ is a regular ring; 2) $A((x))$ is a semisimple Artinian ring; 3) $A$ is a semisimple Artinian ring.
