Citation
Rakhimov, Isamiddin Sattarovich and Dey, Kalyan Kumar and Paul, Akhil Chandra
(2013)
Prime gamma near-rings with derivations.
International Journal of Pure and Applied Mathematics, 83 (2).
pp. 221-231.
ISSN 1311-8080; ESSN: 1314-3395
Abstract
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, y ∈ N, α ∈ Γ; b) Let n be an integer greater than 1, N be n!-torsion free, and D be a derivation with Dn(N) = {0}. Then D(Z(N)) = {0}.
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Official URL or Download Paper: http://www.ijpam.eu/contents/2013-83-2/index.html
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Academic Publications |
| Keywords: | Gamma ring; Commutative ring; Non commutative ring; Derivation |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 03 Jul 2014 01:11 |
| Last Modified: | 30 Oct 2015 03:16 |
| URI: | http://psasir.upm.edu.my/id/eprint/30154 |
| Statistic Details: | View Download Statistic |
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