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.
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页码：343 / 347
页数：5
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