On \(\Sigma\)-nilpotent ideals of topological PI-rings.
type: Item
instance of: scholarly article
title: On \(\Sigma\)-nilpotent ideals of topological PI-rings.
zbMATH Open document ID: 1179.16027
author: V. V. Tenzina
author: Victor Markov
published in: Journal of Mathematical Sciences (New York)
publication date: 2008-10-28T00:00:00Z
review text: It is proved a topological analog of a result of the first author which states that the Baer radical of a PI-ring having a faithful module with Krull dimension is nilpotent. Sufficient conditions under which the topological Baer radical of a topological ring is \(\Sigma\)-nilpotent are given. Accordingly, the authors use the following notions for topological rings which are extended from abstract rings: topological Krull dimension, topological Baer radical, \(\Sigma\)-nilpotent ring.
reviewed by: Mihail I. Ursul
Mathematics Subject Classification ID: 16W80
Mathematics Subject Classification ID: 16P60
Mathematics Subject Classification ID: 16N40
Mathematics Subject Classification ID: 16R10
Mathematics Subject Classification ID: 16R20
zbMATH DE Number: 5358145
zbMATH Keywords: faithful modules
zbMATH Keywords: PI-rings
zbMATH Keywords: topological Krull dimension
zbMATH Keywords: \(\Sigma\)-nilpotent rings
zbMATH Keywords: topological Baer radical
zbMATH Keywords: bounded rings
MaRDI profile type: Publication
full work available at URL: s10958-008-0050-z
OpenAlex ID: W2067452711
cites work: Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes
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cites work: Q4257093
cites work: Q3128049
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cites work: Some properties of the topological Baer radical of rings with topological Krull dimension
DOI: 10.1007/S10958-008-0050-Z
description: scientific article; zbMATH DE number 5358145