On skew derivations as homomorphisms or anti-homomorphisms

Commentationes mathematicae Universitatis Carolinae

Mohd Arif Raza¹ 

关键词: skew derivation;    generalized polynomial identity (GPI);    prime ring;    ideal;   

DOI  :  10.14712/1213-7243.2015.157

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 】

Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$. In this manuscript, we investigate the action of skew derivation $(\delta,\varphi)$ of $R$ which acts as a homomorphism or an anti-homomorphism on $I$. Moreover, we provide an example for semiprime case.

【 授权许可】

CC BY