SOME RESULTS ON 3-PRIME NEAR-RINGS WITH DERIVATIONS

被引：3

作者：

Boua, Abdelkarim ^{[1
]}

Kamal, Ahmed A. M. ^{[2
,3
]}

机构：

[1] Univ Ibn Zohr, Fac Sci, Dept Math, EEFA, BP 8106, Agadir, Morocco

[2] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[3] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2016年 / 47卷 / 04期

关键词：

3-Prime near-rings; derivations; commutativity; COMMUTATIVITY;

D O I：

10.1007/s13226-016-0213-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some theorems showing that a near-rings N must be a commutative ring if it admits one or more derivations satisfying certain constraints on a nonzero semigroup ideal of N. Moreover, we give examples proving necessity of the conditions given.

引用

页码：705 / 716

页数：12

共 9 条

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Boua, Abdelkarim
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Kamal, Ahmed A. M.
Al-Shaalan, Khalid H.
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[8] COMMUTATIVITY OF NEAR-RINGS WITH DERIVATIONS BY USING ALGEBRAIC SUBSTRUCTURES
Kamal, Ahmed A. M.
Al-Shaalan, Khalid H.
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2012, 43 (03) : 211 - 225
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