On Multiplicative Generalized Derivations in 3-Prime Near-Rings

被引:0
|
作者
Bedir, Zeliha [1 ]
Golbas, Oznur [1 ]
机构
[1] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkey
关键词
D O I
10.1063/1.5020456
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we prove that 3-prime near-ring N is commutative ring, if any one of the.following conditions are satisfied: (i.) f (N) subset of Z, (ii) f ([x,y]) = 0, (iii) f ([x,y]) = +/-tau ([x,y]), (iv) f ([x,y]) = +/-tau (xoy), (v) f ([x,y]) = tau([d(x), y]), for all x, y is an element of N, where f is a nonzero left multiplicative generalized (sigma, tau)-derivation of N associated with a multiplicative (sigma, tau)-derivation d.
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页数:7
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