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Elementary radical classes


Gardner, BJ, Elementary radical classes, International Electronic Journal of Algebra, 23 pp. 25-41. ISSN 1306-6048 (2018) [Refereed Article]


Copyright Statement

Copyright 2018 The Author Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0)

DOI: doi:10.24330/ieja.373634


A radical class R of rings is elementary if it contains precisely those rings whose singly generated subrings are in R. Many examples of elementary radical classes are presented, and all those which are either contained in the Jacobson radical class or disjoint from it are described. Attention is given to those elementary radical classes which are definable by composition subsemigroups of the free ring on one generator. Whether every elementary radical class is of this form remains an open question.

Item Details

Item Type:Refereed Article
Keywords:ring, radical class
Research Division:Mathematical Sciences
Research Group:Pure mathematics
Research Field:Algebra and number theory
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Gardner, BJ (Dr Barry Gardner)
ID Code:124776
Year Published:2018
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2018-03-08
Last Modified:2019-02-27
Downloads:106 View Download Statistics

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