Commutativity of near-rings with derivations by using algebraic substructures

Ahmed A. M. Kamal () and Khalid H. Al-Shaalan
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Ahmed A. M. Kamal: King Saud University
Khalid H. Al-Shaalan: King Abdul-aziz Military Academy

Indian Journal of Pure and Applied Mathematics, 2012, vol. 43, issue 3, 211-225

Abstract: Abstract In this paper we use subsets and algebraic substructures of a 3-prime nearring R admitting a derivation d to study the commutativity of the subsets, the algebraic substructures and the near-ring R under suitable conditions on d, R and the algebraic substructures. The results obtained in this paper generalize several commutativity theorems due to some authors.

Keywords: Commutativity of near-rings; derivations; 3-prime near-ring; non-left zero-divisors; semigroup ideal (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s13226-012-0017-0

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