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ON $\alpha $-LIKE RADICALS OF RINGS
Published online by Cambridge University Press: 12 December 2012
Abstract
Let $\alpha $ be any radical of associative rings. A radical $\gamma $ is called $\alpha $-like if, for every $\alpha $-semisimple ring $A$, the polynomial ring $A[x] $ is $\gamma $-semisimple. In this paper we describe properties of $\alpha $-like radicals and show how they can be used to solve some open problems in radical theory.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 331 - 339
- Copyright
- Copyright ©2012 Australian Mathematical Publishing Association Inc.
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