ON LEFT (0,phi)-DERIVATIONS OF PRIME RINGS

被引：0

作者：

Ashraf, Mohammad ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ARCHIVUM MATHEMATICUM | 2005年 / 41卷 / 02期

关键词：

Lie ideals; prime rings; derivations; Jordan left derivations; left derivations; torsion free rings;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a 2-torsion free prime ring. Suppose that theta,phi are automorphisms of R. In the present paper it is established that if R admits a nonzero Jordan left (theta,theta)-derivation, then R is commutative. Further, as an application of this resul it is shown that every Jordan left (theta,theta)-derivation on R is a left (theta,theta)-derivation on R. Finally, in case of an arbitrary prime ring it is proved that if R admits a left (theta,phi)-derivation which acts also as a homomorphism (resp. anti-homomorphism) on a nonzero ideal of R, then d= 0 on R.

引用

页码：157 / 166

页数：10

共 19 条

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