ON COMMUTATIVITY OF PRIME NEAR-RINGS WITH MULTIPLICATIVE GENERALIZED DERIVATION

被引：1
|
作者：
Bedir, Zeliha [1 ]
Golbasi, Oznur [1 ]
机构：
[1] Cumhuriyet Univ, Fac Sci, Dept Math, TR-58140 Sivas, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期
关键词：
Prime near-ring; derivation; multiplicative generalized derivation;
D O I：
10.31801/cfsuasmas.443732
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we shall prove that 3 near-ring N is commutative ring, if any one of the following conditions are satis.ed: (i) f(N) subset of Z; (ii) f([x; y]) = 0; (iii) f([x; y]) = +/-[x; y]; (iv) f([x; y]) = +/-(xoy); (v) f([x; y]) = [f(x); y]; (vi) f([x; y]) = [x; f(y)]; (vii) f([x; y]) = [d(x); y]; (viii) f([x; y]) = d(x)oy;(ix) [f(x); y] is an element of Z for all x; y is an element of N where f is a nonzero multiplicative generalized derivation of N associated with a multiplicative derivation d.
引用
收藏
页码：209 / 221
页数：13
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