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Radicalizers

Citation

Gardner, BJ, Radicalizers, Communications in Algebra, 45, (2) pp. 493-501. ISSN 0092-7872 (2017) [Refereed Article]

Copyright Statement

© 2017 Taylor & Francis

DOI: doi:10.1080/00927872.2016.1175467

Abstract

For a Kurosh–Amitsur radical class of rings, we investigate the existence, for a radical subring S of a ring A, of a largest subring T of A for which S is the radical. When T exists, it is called the radicalizer of S. There are no radical classes of associative rings for which every radical subring of every ring has a radicalizer. If a subring is the radical of its idealizer, then the idealizer is a radicalizer. We examine radical classes for which each radical subring is contained in one which is the radical of its own idealizer.

Item Details

Item Type:Refereed Article
Keywords:ring, radical, idealizer, metaideal
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:124667
Year Published:2017
Deposited By:Mathematics and Physics
Deposited On:2018-03-03
Last Modified:2018-04-30
Downloads:0

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