FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 3, PAGES 947-951

Uniserial Laurent series rings

D. A. Tuganbaev

Abstract

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The following conditions are equivalent:

(1) the Laurent series ring $A((t))$ is a right uniserial ring;

(2) $A((t))$ is a right uniserial right artinian ring;

(3) $A$ is a right uniserial right artinian ring.

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