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Single Elements

journal contribution
posted on 2023-05-16, 15:20 authored by Barry GardnerBarry Gardner, Mason, G
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.

History

Publication title

Beitrage zur Algebra und Geometrie

Volume

47

Pagination

275-288

ISSN

0138-4821

Department/School

School of Natural Sciences

Publisher

Heldermann Verlag

Place of publication

Germany

Rights statement

c 2006 Heldermann Verlag

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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