124776 - Elementary radical classes.pdf (301.84 kB)
Elementary radical classes
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.
History
Publication title
International Electronic Journal of AlgebraVolume
23Pagination
25-41ISSN
1306-6048Department/School
School of Natural SciencesPublisher
Hacettepe UniversityPlace of publication
TurkeyRights statement
Copyright 2018 The Author Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/Repository Status
- Open