Hostname: page-component-77c89778f8-m42fx Total loading time: 0 Render date: 2024-07-22T00:13:05.715Z Has data issue: false hasContentIssue false

WHEN IS THE LOWER RADICAL DETERMINED BY A SET OF RINGS STRONG?

Published online by Cambridge University Press:  19 May 2004

M. FILIPOWICZ
Affiliation:
Institute of Mathematics and Physics, Technical University of Białystok, 15-950 Białystok, Wiejska 45 A, Poland e-mail: mfilipowicz@kki.net.pl
E. R. PUCZYŁOWSKI
Affiliation:
Institute of Mathematics, University of Warsaw, Warsaw, Banacha 2, Poland e-mail: edmundp@mimuw.edu.pl
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We prove that the lower radical, determined by a set of rings, is strong if and only if it is the lower radical determined by a ring with zero multiplication.

Keywords

Type
Research Article
Copyright
2004 Glasgow Mathematical Journal Trust