Abstract
It is shown that the correspondence which associates with each radical class τ of abelian groups the (radical) class of prime radical rings with additive groups in τ gives a complete classification of those radical classes of rings which are determined (as lower radicals) by zerorings.
Publisher
Cambridge University Press (CUP)
Cited by
9 articles.
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1. ON PRIME-LIKE RADICALS;Bulletin of the Australian Mathematical Society;2010-03-02
2. On principally hereditary radicals;Communications in Algebra;1998-01
3. Radical classes of commutative rings defined in terms of the adjoint operation;Communications in Algebra;1994-01
4. SOME CARDINALITY CONDITIONS FOR RING RADICALS;Quaestiones Mathematicae;1992-01
5. Radicals and one-sided ideals;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1986