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Solution of the ℐ2-radical problem in structural matrix near-rings

Published online by Cambridge University Press:  14 November 2011

Kirby C. Smith  and
Leon van Wyk
Kirby C. Smith
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368, U.S.A. e-mail: [email protected]
Leon van Wyk
Affiliation:
Department of Mathematics, University of Stellenbosch, Private Bag XI, Matieland 7602, South Africa e-mail: [email protected]
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Extract

We answer the question, raised in 1989, whether the ℐ2-radical of a structural matrix near-ring can be written as the sum of two nontrivial ideals, one of which is nilpotent, in the affirmative.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 128 , Issue 1 , 1998 , pp. 137 - 145
Copyright
Copyright © Royal Society of Edinburgh 1998

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