On Prime Near-Rings with Generalized Derivation

Howard E. Bell

International Journal of Mathematics and Mathematical Sciences, 2008, vol. 2008, 1-5

Abstract:

Let ð ‘ be a 3-prime 2-torsion-free zero-symmetric left near-ring with multiplicative center ð ‘ . We prove that if ð ‘ admits a nonzero generalized derivation ð ‘“ such that ð ‘“ ( ð ‘ ) ⊆ ð ‘ , then ð ‘ is a commutative ring. We also discuss some related properties.

Date: 2008
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:490316

DOI: 10.1155/2008/490316

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