# Single Elements

### Citation

Gardner, BJ and Mason, G, Single Elements, Beitrage zur Algebra und Geometrie, 47, (1) pp. 275-288. ISSN 0138-4821 (2006) [Refereed Article]

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### Copyright Statement

c 2006 Heldermann Verlag

### Abstract

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.

### Item Details

Item Type: Refereed Article Mathematical Sciences Pure mathematics Algebra and number theory Expanding Knowledge Expanding knowledge Expanding knowledge in the mathematical sciences Gardner, BJ (Dr Barry Gardner) 30915 2006 Mathematics 2006-08-01 2010-04-29 4 View Download Statistics

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