Commutativity theorems for rings with differential identities on Jordan ideals

Commentationes mathematicae Universitatis Carolinae

L. Oukhtite¹ 

关键词: derivation;    generalized derivation;    $*$-Jordan ideal;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

In this paper we investigate commutativity of ring $R$ with involution $'\ast'$ which admits a derivation satisfying certain algebraic identities on Jordan ideals of $R$. Some related results for prime rings are also discussed. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.

【 授权许可】

CC BY