Some Results on Derivations in Nearrings

Nurcan Argaç and Howard E. Bell
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Nurcan Argaç: Ege University, Department of Mathematics, Faculty of Science
Howard E. Bell: Brock University, Department of Mathematics

A chapter in Near-Rings and Near-Fields, 2001, pp 42-46 from Springer

Abstract: Abstract Let N denote a 3-prime near-ring. We prove that if 2N ≠ {0} and d 1 and d 2 are nonzero derivations on N, then d 1 d 2 cannot act as a derivation on a nonzero additively-closed semigroup ideal. We then establish some results involving conditions of form d(x)f(x) = 0, where d is a derivation on N and f is an endomorphism of N.

Keywords: Prime Ring; Zero Divisor; Aequationes Math; Nonzero Derivation; Semigroup Ideal (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0954-6_5

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DOI: 10.1007/978-94-010-0954-6_5

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