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Radicalizers
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.
History
Publication title
Communications in AlgebraVolume
45Pagination
493-501ISSN
0092-7872Department/School
School of Natural SciencesPublisher
Marcel Dekker IncPlace of publication
270 Madison Ave, New York, USA, Ny, 10016Rights statement
© 2017 Taylor & FrancisRepository Status
- Restricted