Article contents
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.
References
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