Citation
Rakhimov, Isamiddin Sattarovich and Dey, Kalyan Kumar and Paul, Akhil Chandra
(2013)
Prime gamma-near-rings with (σ, τ)-derivations.
International Journal of Pure and Applied Mathematics, 82 (5).
pp. 669-681.
ISSN 1311-8080; ESSN: 1314-3395
Abstract
Let N be a 2 torsion free prime Γ-near-ring with center Z(N) and let d be a nontrivial derivation on N such that d(N) ⊆ Z(N). Then we prove that N is commutative. Also we prove that if d be a nonzero (σ,τ)-derivation on N such that d(N) commutes with an element aofN then ether d is trivial or a is in Z(N). Finally if d1 be a nonzero (σ,τ)-derivation and d2 be a nonzero derivation on N such that d1τ = τ d1, d1σ = σd1, d2τ = τ d2, d2σ = σd2 with d1(N)Γσ(d2(N)) = τ(d2(N))Γd1(N) then N is a commutative Γ-ring.
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Official URL or Download Paper: http://www.ijpam.eu/contents/2013-82-5/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; Ring; Prime ring; (σ, τ) derivation. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 03 Jul 2014 01:24 |
| Last Modified: | 30 Oct 2015 03:17 |
| URI: | http://psasir.upm.edu.my/id/eprint/30155 |
| Statistic Details: | View Download Statistic |
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