Abstract
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.
Citation
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. https://doi.org/10.1216/RMJ-2016-46-4-1379
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