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Communications in Algebra Volume 43, 2015 - Issue 5
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Original Articles

Semigroup Ideals and Commutativity in 3-prime Near Rings

H. E. Bell Department of Mathematics, Faculty of Mathematics and Science, Brock University, St. Catharines, Ontarion, Canada
,
A. Boua Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismaï l, Errachidia, Maroc
&
L. Oukhtite Département de Mathématiques, Faculté des Sciences et Techniques, Université Moulay Ismaï l, Errachidia, Maroc; Department of Mathematics, College of Sciences, Taibah University, Madina, Saudi ArabiaCorrespondence[email protected]
Pages 1757-1770 | Received 19 Oct 2013, Published online: 27 Feb 2015
 
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Abstract

The purpose of this paper is to study derivations and generalized derivations satisfying certain identities on semigroup ideals of near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations have been generalized by using semigroup ideals. Moreover, examples proving the necessity of the 3-primeness hypothesis are given.

2010 Mathematics Subject Classification:

Notes

Communicated by V. A. Artamonov.

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