On Jordan ideals and derivations in rings with involution

被引：2

作者：

Oukhtite, Lahcen ^{[1
]}

机构：

[1] Univ Moulay Ismail, Fac Sci & Tech, Dept Math, Grp Algebre & Applicat, BP 509 Boutalamine, Errachidia, Morocco

来源：

COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE | 2010年 / 51卷 / 03期

关键词：

*-prime rings; Jordan ideals; derivations;

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, d a derivation which commutes with * and J a *-Jordan ideal and a subring of R. In this paper, it is shown that if either d acts as a homomorphism or as an anti-homomorphism on J, then d = 0 or J subset of Z(R). Furthermore, an example is given to demonstrate that the *-primeness hypothesis is not superfluous.

引用

页码：389 / 395

页数：7

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