On semigroup ideals and n-derivations in near-rings

被引：6

作者：

Ashraf, Mohammad ^{[1
]}

Siddeeque, Mohammad Aslam ^{[1
]}

Parveen, Nazia ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE | 2015年 / 9卷 / 01期

关键词：

Left near-rings; Semigroup ideals; Ideals; Zero symmetric Derivations; n-Derivations;

D O I：

10.1016/j.jtusci.2014.09.004

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A non-empty subset U of a near-ring N is said to be a semigroup left (resp. right) ideal of N if NU subset of U (resp. UN subset of U) and if U is both a semigroup left ideal and a semigroup right ideal, it will be called a semigroup ideal. In the present paper, we investigate the commutativity of addition and multiplication of near-rings satisfying certain identities involving n-derivations on semigroup ideals and ideals. Furthermore, we study the conditions with semigroup ideals for n-derivations D-1 and D-2 of N which imply that D-1 = D-2. (C) 2014 Taibah University. Production and hosting by Elsevier B.V.

引用

页码：126 / 132

页数：7

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