Open Access Repository
Radicalizers
Altmetric
Gardner, BJ 2017
, 'Radicalizers'
, Communications in Algebra, vol. 45, no. 2
, pp. 493-501
, doi: 10.1080/00927872.2016.1175467.
Full text not available from this repository.
Official URL: http://dx.doi.org/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 Type: | Article |
---|---|
Authors/Creators: | Gardner, BJ |
Keywords: | ring, radical, idealizer, metaideal |
Journal or Publication Title: | Communications in Algebra |
Publisher: | Marcel Dekker Inc |
ISSN: | 0092-7872 |
DOI / ID Number: | 10.1080/00927872.2016.1175467 |
Copyright Information: | © 2017 Taylor & Francis |
Item Statistics: | View statistics for this item |
Actions (login required)
![]() |
Item Control Page |