ON PERMUTING n-DERIVATIONS IN NEAR-RINGS

Title & Authors
ON PERMUTING n-DERIVATIONS IN NEAR-RINGS

Abstract
In this paper, we introduce the notion of permuting $\small{n}$-derivations in near-ring N and investigate commutativity of addition and multiplication of N. Further, under certain constrants on a $\small{n!}$-torsion free prime near-ring N, it is shown that a permuting $\small{n}$-additive mapping D on N is zero if the trace $\small{d}$ of D is zero. Finally, some more related results are also obtained.
Keywords
left near-rings;zero symmetric;derivations;permuting n-derivations;
Language
English
Cited by
1.
On semigroup ideals and n-derivations in near-rings, Journal of Taibah University for Science, 2015, 9, 1, 126
2.
ON (σ, τ)-n-DERIVATIONS IN NEAR-RINGS, Asian-European Journal of Mathematics, 2013, 06, 04, 1350051
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