A generalisation of the lower radical class-Reference-Cited by-同舟云学术

A generalisation of the lower radical class

Published:1999-02 Issue:1 Volume:59 Page:139-146
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

McDougall Robert

Abstract

In this work we demonstrate that the lower radical class construction on a homomorphically closed class of associative rings generates a radical class for any class of associative rings. We also give a new description of the upper radical class using the construction on an appropriate generating class.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. A note on hereditary radicals;Puczylowski;Acta Sci. Math.,1982

2. On elements of the lattice of all radical classes, part I: Examples of pseudocomplements;McDougall;Comm. Algebra

3. Lattices of radicals

4. Small and large radical classes;Gardner;Comm. Algebra,1992

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