SOME RESULTS ON NEAR-RINGS WITH GENERALIZED DERIVATIONS

被引：2
|
作者：
Golbasi, Oznur [1 ]
机构：
[1] Cumhuriyet Univ, Fac Arts & Sci, Dept Math, Sivas, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2005年 / 54卷 / 02期
关键词：
Prime Near-Ring; Derivation; Generalized Derivation; Homomorphism; Anti-homomorphism;
D O I：
10.1501/Commua1_0000000327
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let N be a prime right near-ring with multiplicative center Z, f : R -> R a generalized derivation associated with derivation d. The following results are proved: (i) If f(2) (N) = 0 then f = 0. (ii) If f(N) subset of Z then N is commutative ring. (iii) f(xy) = f(x)f(y) or f(xy) = f(y)f(x) for all x, y is an element of N then d = 0.
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页码：21 / 26
页数：6
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