* Derivations in Nearrings
Journal: International Journal of Scientific Engineering and Research (IJSER) (Vol.5, No. 7)Publication Date: 2017-07-05
Authors : D. Bharathi; K. Sreenivasulu;
Page : 114-115
Keywords : derivations; * derivations; nearrings; associative and prime nearrings;
Abstract
Let N be a non-commutative prime nearing, U be a nonzero semi group ideal of N, and D?0, a * derivation associated with D of N such that D [x, y]- [x, y]=0 for all x, y?U. Then F is trivial and D [x, y]+ [x, y]=0, for all x, y?U. Then D is trivial.
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