On prime and semiprime near-rings with derivations

Author:

Argaç Nurcan1

Affiliation:

1. Ege University, Science Faculty, Department of Mathematics, Bornova, Izmir 35100, Turkey

Abstract

LetNbe a semiprime right near-ring,Aa subset ofNsuch that0AandANA, andda derivation ofNThe purpose of this paper is to prove that if d acts as a homomorphism onAor as an anti-homomorphism onA, thend(A)={0}.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Cited by 5 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 of a 3-Prime near Ring Satisfying Certain Differential Identities on Jordan Ideals;Mathematics;2020-01-06

2. On prime nearrings with derivations;Journal of Discrete Mathematical Sciences and Cryptography;2017-04-03

3. On derivations and commutativity in prime near-rings;Journal of Taibah University for Science;2014-07

4. DIFFERENTIAL IDENTITIES ON SEMIGROUP IDEALS OF RIGHT NEAR-RINGS;Asian-European Journal of Mathematics;2013-12

5. Some properties of prime near-rings with (σ,τ)-derivation;Siberian Mathematical Journal;2005-03

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