Commutativity of rings and near-rings with generalized derivations

被引：6

作者：

Kamal, Ahmed A. M. ^{[1
]}

Al-Shaalan, Khalid H. ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2013年 / 44卷 / 04期

关键词：

Rings; near-rings; generalized derivation; primeness; commutativity; PRIME;

D O I：

10.1007/s13226-013-0025-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some theorems of commutativity for prime rings or 3-prime near-rings with a suitably constrained generalized derivation. As a consequence of the results obtained, we prove several commutativity theorems for 3-prime near-rings and prime rings. Also, we prove some other results about the generalized derivation either on a near-ring or on a ring.

引用

页码：473 / 496

页数：24

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