Posner's First Theorem for *-ideals in Prime Rings with Involution

被引：4

作者：

Ashraf, Mohammad ^{[1
]}

Siddeeque, Mohammad Aslam ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2016年 / 56卷 / 02期

关键词：

Rings with involution; derivation; *-prime ring and *-ideal;

D O I：

10.5666/KMJ.2016.56.2.343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Posner's first theorem states that if R is a prime ring of characteristic different from two, d(1) and d(2) are derivations on R such that the iterate d(1)d(2) is also a derivation of R, then at least one of d(1), d(2) is zero. In the present paper we extend this result to *-prime rings of characteristic different from two.

引用

页码：343 / 347

页数：5

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