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

Published online by Cambridge University Press:  19 May 2004

M. FILIPOWICZ  and
E. R. PUCZYŁOWSKI
M. FILIPOWICZ
Affiliation:
Institute of Mathematics and Physics, Technical University of Białystok, 15-950 Białystok, Wiejska 45 A, Poland e-mail: [email protected]
E. R. PUCZYŁOWSKI
Affiliation:
Institute of Mathematics, University of Warsaw, Warsaw, Banacha 2, Poland e-mail: [email protected]
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Abstract

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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

16N80
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 371 - 378
Copyright
2004 Glasgow Mathematical Journal Trust