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.

引用

页码：21 / 26

页数：6

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