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AAA60: Workshop on General Algebra (60. Arbeitstagung Allgemeine Algebra)
June 22-25, 2000
Dresden University of Technology
Dresden, Germany

Organizers
Reinhard Pöschel, Manfred Droste, Bernhard Ganter

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Rings with finitely many nilpotents: applications to commutativity
by
Howard E. Bell
Brock University

A recent result characterizes semiprime rings with finitely many nilpotent elements as direct sums of a reduced ring and finitely many total matrix rings over finite fields. This result has been useful in proving that certain rings must be either finite or commutative. We give an application to rings R such that for each pair X, Y of countably infinite subsets of R, XY = YX.

Date received: March 1, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caee-08.