Some results on ideals of semiprime rings with multiplicative generalized derivations

被引：12

作者：

Koc, Emine ^{[1
]}

Golbasi, Oznur ^{[1
]}

机构：

[1] Cumhuriyet Univ, Dept Math, Fac Sci, Sivas, Turkey

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 11期

关键词：

Centralizing mapping; commuting mapping; ideal; multiplicative generalized derivation; SCP map; semiprime ring; COMMUTATIVITY; MAPPINGS; PRIME;

D O I：

10.1080/00927872.2018.1459644

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a semiprime ring and I a nonzero ideal of R. A map F:RR is called a multiplicative generalized derivation if there exists a map d:RR such that F(xy)=F(x)y+xd(y), for all x,yR. In the present paper, we shall prove that R contains a nonzero central ideal if any one of the following holds: i) iii) F is SCP on I, iv) F(u)degrees F(v)=u degrees v, for all u,v is an element of I.

引用

页码：4905 / 4913

页数：9

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