ON PERMUTING n-DERIVATIONS IN NEAR-RINGS

被引:12
作者
Ashraf, Mohammad [1 ]
Siddeeque, Mohammad Aslam [1 ]
机构
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 28卷 / 04期
关键词
left near-rings; zero symmetric; derivations; permuting n-derivations;
D O I
10.4134/CKMS.2013.28.4.697
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the notion of permuting n-derivations in near-ring N and investigate commutativity of addition and multiplication of N. Further, under certain constrants on a n!-torsion free prime near-ring N, it is shown that a permuting n-additive mapping D on N is zero if the trace d of D is zero. Finally, some more related results are also obtained.
引用
收藏
页码:697 / 707
页数:11
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