<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we study some conditions under which a near-ring R admitting a (multiplicative) (σ; τ )-derivation d must be a commutative ring with constrained-suitable conditions on d, σ and τ. Consequently, we obtain some results which generalize some recent theorems in the literature.</p></abstract>

In this paper we study some conditions under which a near-ring R admitting a (multiplicative) (σ; τ )-derivation d must be a commutative ring with constrained-suitable conditions on d, σ and τ. Consequently, we obtain some results which generalize some recent theorems in the literature.

Commutativity of near-rings with (σ;τ)-derivations

Department of Mathematics, College of Science, King Saud University, P.O. Box 2455 Riyadh 11451, Kingdom of Saudi Arabia. Permanent address: Department of Mathematics, Faculty of Sciences, Cairo University, Giza, Egypt

Science Department, King Abdul-aziz Military Academy, Kingdom of Saudi Arabia

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"Commutativity of near-rings with (σ;τ)-derivations"}

In this paper we study some conditions under which a near-ring R admitting a (multiplicative) (σ; τ )-derivation d must be a commutative ring with...

Commutativity of near-rings with (σ;τ)-derivations

Published Online: Jul 30, 2013

Page range: 121 - 141

DOI: https://doi.org/10.2478/auom-2013-0007

This content is open access.