对*-素环 Jordan 理想上广义导子性质的研究  

Properties of Generalized Derivations on Jordan ideals of*-Prime Ring

作　　者：杨悦 Yang Yue(Graduate School,Jilin Normal University,Changchun 130000,China)

机构地区：[1]吉林师范大学数学学院,吉林长春130000

出　　处：《洛阳师范学院学报》2022年第5期5-6,共2页Journal of Luoyang Normal University

摘　　要：设R是2-扭自由*-素环,J是R的非零-Jordan理想,并且是R的子环,若F和G是R的广义导子,d和g是F和G的伴随导子,导子g与可交换,若满足(F(u)v+F(v)u)±(uG(v)+vG(u))=0,u,v∈J,则R是可交换的.Let(R,)be a-prime ring with characteristic not two and J a nonzero-Jordan ideal and a subring of R,if admits F and G be generalized derivation associated with derivation d and g which commute such that(F(u)v+F(v)u)±(uG(v)+vG(u))=0,for all u,v∈J,then R is commutative.

关 键 词：2-扭自由-素环 *-Jordan理想 导子 广义导子 

分 类 号：O153.3[理学—数学]