ON (σ, τ)-n-DERIVATIONS IN NEAR-RINGS

Author:

Ashraf Mohammad1,Siddeeque Mohammad Aslam1

Affiliation:

1. Department of Mathematics, Aligarh Muslim University, Aligarh – 202002, India

Abstract

In the present paper, we introduce the notion of (σ, τ)-n-derivation in near-ring N and investigate some properties involving (σ, τ)-n-derivations of a prime near-ring N which force N to be a commutative ring. Additive commutativity of near-ring N satisfying certain identities involving (σ, τ)-n-derivations of a prime near-ring N has also been obtained. Related examples to justify the hypotheses in various theorems have also been provided.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Commutativity in 3-prime nearrings through permutation identities;Asian-European Journal of Mathematics;2021-08-24

2. On Commutativity of Near-Rings with Outer (σ,τ)-n-derivations;Communications in Mathematics and Applications;2021-03-30

3. ON COMMUTATIVITY OF NEAR-RINGS WITH GENERALIZED OUTER DERIVATIONS;JP Journal of Algebra, Number Theory and Applications;2021-02-20

4. New Types of Permuting n-Derivations with Their Applications on Associative Rings;Symmetry;2019-12-25

5. On generalized σ,τ-n-derivations in prime near-rings;Georgian Mathematical Journal;2018-03-01

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