Open Access
2016 Two sided $\alpha $-derivations in 3-prime near-rings
M. Samman, L. Oukhtite, A. Raji, A. Boua
Rocky Mountain J. Math. 46(4): 1379-1393 (2016). DOI: 10.1216/RMJ-2016-46-4-1379


The purpose of this paper is to investigate two sided $\alpha $-derivations satisfying certain differential identities on 3-prime near-rings. Some well-known results characterizing commutativity of 3-prime near-rings by derivations (semi-derivations) have been generalized. Furthermore, examples proving the necessity of the 3-primeness hypothesis are given.


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M. Samman. L. Oukhtite. A. Raji. A. Boua. "Two sided $\alpha $-derivations in 3-prime near-rings." Rocky Mountain J. Math. 46 (4) 1379 - 1393, 2016.


Published: 2016
First available in Project Euclid: 19 October 2016

zbMATH: 1353.16018
MathSciNet: MR3563187
Digital Object Identifier: 10.1216/RMJ-2016-46-4-1379

Primary: 16N60 , 16W25 , 16Y30

Keywords: $3$-prime near-rings , commu­ta­tivity , two sided $\alpha $-derivations

Rights: Copyright © 2016 Rocky Mountain Mathematics Consortium

Vol.46 • No. 4 • 2016
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