Rocky Mountain Journal of Mathematics

Two sided $\alpha $-derivations in 3-prime near-rings

M. Samman, L. Oukhtite, A. Raji, and A. Boua

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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.

Article information

Source
Rocky Mountain J. Math., Volume 46, Number 4 (2016), 1379-1393.

Dates
First available in Project Euclid: 19 October 2016

Permanent link to this document
https://projecteuclid.org/euclid.rmjm/1476884588

Digital Object Identifier
doi:10.1216/RMJ-2016-46-4-1379

Mathematical Reviews number (MathSciNet)
MR3563187

Zentralblatt MATH identifier
1353.16018

Subjects
Primary: 16N60: Prime and semiprime rings [See also 16D60, 16U10] 16W25: Derivations, actions of Lie algebras 16Y30: Near-rings [See also 12K05]

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

Citation

Samman, M.; Oukhtite, L.; Raji, A.; Boua, A. Two sided $\alpha $-derivations in 3-prime near-rings. Rocky Mountain J. Math. 46 (2016), no. 4, 1379--1393. doi:10.1216/RMJ-2016-46-4-1379. https://projecteuclid.org/euclid.rmjm/1476884588


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