FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 3, PAGES 913-921

**Semilocal right distributive skew Laurent series rings**

D. A. Tuganbaev

Abstract

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We prove that the following conditions are equivalent.

(1) The skew Laurent series ring $A((t,$f
)) is semilocal and right distributive.

(2) The ring $A((t,$f )) is a finite
direct product of right uniserial rings.

(3) The ring $A((t,$f )) is a finite
direct product of right uniserial right Artinian rings.

(4) The ring $A$
is a finite direct product of right uniserial right Artinian
rings $A$_{i}, and
$$f
(A_{i})=A_{i} for all $i$.

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Last modified: December 8, 2000