Geodesic
On $\Sigma$-nilpotent ideals of topological PI-rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 111-118 
V. T. Markov; V. V. Tenzina. On $\Sigma$-nilpotent ideals of topological PI-rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 12 (2006) no. 2, pp. 111-118. http://geodesic.mathdoc.fr/item/FPM_2006_12_2_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\Sigma$-nilpotent ideals of the ring $R$ is a $\Sigma$-nilpotent ideal too, and in the case of a bounded ring $R$ its topological Baer radical is $\Sigma$-nilpotent.

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