Prime gamma near-rings with derivations

• Main Authors: Rakhimov, Isamiddin Sattarovich, Dey, Kalyan Kumar, Paul, Akhil Chandra
• Format: Article
• Language: English; English
• Published: Academic Publications 2013
• Online Access: http://psasir.upm.edu.my/id/eprint/30154/1/Prime%20gamma%20near.pdf; http://psasir.upm.edu.my/id/eprint/30154/; http://www.ijpam.eu/contents/2013-83-2/index.html

Let N be a prime Γnear-ring with the center Z(N). The objective of this paper is to study derivations on N. We prove two results: (a) Let N be 2-torsion free and let D1 and D2 be derivations on N such that D1D2 is also a derivation. Then D1 = 0 or D2 = 0 if and only if[D1(x), D2(y)]α = 0 for all x,...