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ON THE STABILISATION OF ONE-SIDED KUROSH’S CHAINS

Part of: Modules, bimodules and ideals

Published online by Cambridge University Press:  23 February 2012

R. R. ANDRUSZKIEWICZ  and
M. SOBOLEWSKA
R. R. ANDRUSZKIEWICZ
Affiliation:
Institute of Mathematics, University of Białystok, 15-267 Białystok, Akademicka 2, Poland (email: randrusz@math.uwb.edu.pl)
M. SOBOLEWSKA*
Affiliation:
Institute of Mathematics, University of Białystok, 15-267 Białystok, Akademicka 2, Poland (email: magdas@math.uwb.edu.pl)
*
✉For correspondence; e-mail: magdas@math.uwb.edu.pl
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Abstract

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We construct an example showing that Kurosh’s construction of the lower strong radical in the class of associative rings may not terminate at any finite ordinal.

Keywords

stabilisation of Kurosh’s chains*-ringsconstruction of classes

MSC classification

Secondary: 16D25: Ideals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 473 - 480
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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