Skew Laurent series rings and the maximum condition on right annihilators
Diskretnaya Matematika, Tome 20 (2008) no. 1, pp. 80-86
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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.
@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},
publisher = {mathdoc},
volume = {20},
number = {1},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2008_20_1_a6/}
}
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/