J Austral Math Soc Ser A 51 pp497--504, 1991.

Zero Square Near-Rings

Patricia Jones

(Received 27 February 1990)

Abstract

The purpose of this paper is to provide examples and explore properties of a wide variety of zero square (left) near rings. Among the main results are complete classifications of (i) finite Abelian groups which are the additive group of a zero square near-ring and (ii) finite non-Abelian groups which support 3-nilpotent distributive zero square near-rings.

1991 AMS Subject Classification: 16A76

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Authors

Patricia Jones
University of Southwestern Louisiana, Lafayette, Louisiana 70504, USA.

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