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India | Mathematics | Volume 5 Issue 7, July 2017 | Pages: 116 - 117
* Derivations in Prime Gamma Nearrings
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.
Keywords: * derivation, ?-nearring, 2-torsion free
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