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The lower radical construction for non-associative rings: Examples and counterexamples
Published online by Cambridge University Press: 17 April 2009
Abstract
Some sufficient conditions are presented for the lower radical construction in a variety of algebras to terminate at the step corresponding to the first infinite ordinal. An example is also presented, in a variety satisfying some non-trivial identities, of a lower radical construction terminating in four steps.
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- Copyright © Australian Mathematical Society 1979