Some results on 3-Prime near-rings with derivations

Abdelkarim Boua () and Ahmed A. M. Kamal ()
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Abdelkarim Boua: Equipe d’équations fonctionnelles et Applications (EEFA)
Ahmed A. M. Kamal: King Saud University, College of Science

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 4, 705-716

Abstract: Abstract We prove some theorems showing that a near-rings N must be a commutative ring if it admits one or more derivations satisfying certain constraints on a nonzero semigroup ideal of N. Moreover, we give examples proving necessity of the conditions given.

Keywords: 3-Prime near-rings; derivations; commutativity (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s13226-016-0213-4

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