FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 209-215

**The Jacobson radical of the Laurent series ring**

A. A. Tuganbaev

Abstract

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For a large class of rings $A$ including all rings with
right Krull dimension, it is proved that for every
automorphism $$f of the
ring $A$,
the Jacobson radical of the skew Laurent series ring $A((x,$f
)) is nilpotent and coincides with $N((x,$f
)), where $N$ is the prime radical of
the ring $A$.
If $A/N$ is
a ring of bounded index, then the Jacobson radical of the Laurent
series ring $A((x))$ coincides with
$N((x))$.

Location: http://mech.math.msu.su/~fpm/eng/k06/k062/k06214h.htm

Last modified: June 17, 2006