Commutativity of Near-rings with Derivations

作     者：Ahmed A.M. Kamal Khalid H. AI-Shaalan 

作者机构：Department of Mathematics College of Science King Saud University P.O. Box 2455 Riyadh 11451 Kingdom of Saudi Arabia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2014年第21卷第2期

页      面：215-230页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：near-rings derivations 3-prime near-ring non-left zero-divisors commuta-tivity of near-rings 

摘      要：In this paper we first prove that a near-ring admits a derivation if and only if it is zero-symmetric. Also, we prove some commutativity theorems for a non-necessarily 3-prime near-ring R with a suitably-constrained derivation d satisfying the condition that d（a） is not a left zero-divisor in R for some a ∈ R. As consequences, we generalize several commutativity theorems for 3-prime near-rings admitting derivations.