FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 2, PAGES 111-118

**On $$S-nilpotent ideals of
topological PI-rings**

V. T. Markov

V. V. Tenzina

Abstract

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We show that under certain conditions on the topology of
a faithful module $M$ over a topological
PI-ring $R$,
if $M$ has at
most countable dual topological Krull dimension, then the closure of
the sum of all $$S-nilpotent ideals of
the ring $R$
is a $$S-nilpotent ideal too,
and in the case of a bounded ring $R$ its topological Baer
radical is $$S-nilpotent.

Location: http://mech.math.msu.su/~fpm/eng/k06/k062/k06207h.htm

Last modified: June 17, 2006