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Directed graphs and nilpotent rings

Part of: Radicals and radical properties of rings

Published online by Cambridge University Press:  09 April 2009

A. V. Kelarev
A. V. Kelarev
Affiliation:
School of Mathematics, University of Tasmania, G.P.O. Box 252-37, Hobart, Tasmania 7001, Australia e-mail: Kelarev@hilbert.maths.utas.edu.au
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Abstract

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Suppose that a ring is a sum of its nilpotent subrings. We use directed graphs to give new conditions sufficient for the whole ring to be nilpotent.

MSC classification

Secondary: 16N40: Nil and nilpotent radicals, sets, ideals, rings 16N60: Prime and semiprime rings

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 3 , December 1998 , pp. 326 - 332
Copyright
Copyright © Australian Mathematical Society 1998

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