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* Derivations in Prime Gamma Nearrings

Journal: International Journal of Scientific Engineering and Research (IJSER) (Vol.5, No. 7)

Publication Date:

Authors : ; ;

Page : 116-117

Keywords : * derivation; ?-nearring; 2-torsion free;

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Abstract

Let N be a prime ?-nearring of a 2-torsion free and let D1 and D2 be a * derivations with the condition D1(a)?D2(b)=D2(b)?D1(a) for all a, b?N and ??? on N. Then D1D2 is a * derivation on N if and only if either D1=0 or D2=0.

Last modified: 2021-07-08 16:10:09