ieja International Electronic Journal of Algebra 1306-6048 Abdullah HARMANCI 10.24330/ieja.440117 Mathematical Sciences Matematik A NOTE ON MAL'TSEV-NEUMANN PRODUCTS OF RADICAL CLASSES Gardner B. J. 07 05 2018 24 24 1 11 04 16 2016 Copyright © 2007, International Electronic Journal of Algebra 2007 International Electronic Journal of Algebra

A radical class R of rings is elementary if it contains preciselythose rings whose singly generated subrings are in R. Many examples of ele-mentary radical classes are presented, and all those which are either containedin the Jacobson radical class or disjoint from it are described. There is a dis-cussion of Mal'tsev products of radical classes in general, in which it is shown,among other things, that a product of elementary radical classes need not bea radical class, and if it is, it need not be elementary.

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