Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 80-86
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A. A. Tuganbaev. Skew Laurent series rings and the maximum condition on right annihilators. Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 80-86. http://geodesic.mathdoc.fr/item/DM_2008_20_1_a6/
@article{DM_2008_20_1_a6,
author = {A. A. Tuganbaev},
title = {Skew {Laurent} series rings and the maximum condition on right annihilators},
journal = {Diskretnaya Matematika},
pages = {80--86},
year = {2008},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2008_20_1_a6/}
}
TY - JOUR
AU - A. A. Tuganbaev
TI - Skew Laurent series rings and the maximum condition on right annihilators
JO - Diskretnaya Matematika
PY - 2008
SP - 80
EP - 86
VL - 20
IS - 1
UR - http://geodesic.mathdoc.fr/item/DM_2008_20_1_a6/
LA - ru
ID - DM_2008_20_1_a6
ER -
%0 Journal Article
%A A. A. Tuganbaev
%T Skew Laurent series rings and the maximum condition on right annihilators
%J Diskretnaya Matematika
%D 2008
%P 80-86
%V 20
%N 1
%U http://geodesic.mathdoc.fr/item/DM_2008_20_1_a6/
%G ru
%F DM_2008_20_1_a6
Let $A$ be a ring and let $\varphi$ be an automorphism of $A$. Then the skew Laurent series ring $A((x,\varphi))$ is a right serial ring with the maximum condition on right annihilators if and only if $A$ is a right Artinian right serial ring.