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Research Article Open access CC BY 4.0

Some Commutativity Theorems for Prime Near-rings Involving Derivations

Moharram A. Khan, Abdu Madugu

Journal of Advances in Mathematics and Computer Science · pp. 1–9 · Published 4 Jan 2018

10.9734/JAMCS/2017/38097

Abstract

The study depicts that a prime near-ring N is considered to be a commutative ring if there non-negative integers exist i.e., in such a way that N admits a non-zero derivation, where d satisfying one of the conditions like (C1) - (C8). For any x, y ∈ N , we define the following properties        In addition, an example is given to demonstrate the primeness of the hypothesis which is not superfluous. Finally, we can conclude it with some open problems.

Commutativity derivation near-ring prime near-ring zero-symmetric near-ring.

Cited by 1

The commutative ring for prime near-rings by involving derivation

Mochammad Reza Habibi, Dian Winda Setyawati, Komar Baihaqi · Journal of Physics: Conference Series · 2019

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