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http://dx.doi.org/10.4134/CKMS.2013.28.4.697

ON PERMUTING n-DERIVATIONS IN NEAR-RINGS  

Ashraf, Mohammad (Department of Mathematics Aligarh Muslim University)
Siddeeque, Mohammad Aslam (Department of Mathematics Aligarh Muslim University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.4, 2013 , pp. 697-707 More about this Journal
Abstract
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.
Keywords
left near-rings; zero symmetric; derivations; permuting n-derivations;
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Times Cited By KSCI : 1  (Citation Analysis)
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