Beiträge zur Algebra und GeometrieContributions to Algebra and Geometry
Vol. 47, No. 1, pp. 275-288 (2006)
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Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 47, No. 1, pp. 275-288 (2006) |
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Single elementsB. J. Gardner and Gordon MasonDepartment of Mathematics, University of Tasmania. Hobart, Tasmania, Australia; Department of Mathematics & Statistics, University of New Brunswick, Fredericton, N.B., CanadaAbstract: In this paper we consider single elements in rings and nearrings. If $R$ is a (near)ring, $x \in R$ is called single if $axb = 0 \Rightarrow ax = 0$ or $xb = 0$. In seeking rings in which each element is single, we are led to consider $0$-simple rings, a class which lies between division rings and simple rings. Classification (MSC2000): 16U99; 16Y30 Full text of the article (for subscribers):
Electronic version published on: 9 May 2006. This page was last modified: 8 Jun 2006.
© 2006 Heldermann Verlag
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