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]

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.

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Notes

Communicated by V. A. Artamonov.

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Semigroup Ideals and Commutativity in 3-prime Near Rings

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