对素环上的广义导子与θ映射之间的关系的研究  

Study on the Relationship between Generalized Derivations andθMappings on Prime Rings

作　　者：尹俊淇 YIN Junqi(Jilin Normal University,Changchun,Jilin Province,130000 China)

机构地区：[1]吉林师范大学,吉林长春130000

出　　处：《科技资讯》2022年第4期211-213,共3页Science & Technology Information

摘　　要：设R是2-扭自由素环,J是R的非零Jordan理想,设θ是R上的自同构,且F是R上的广义(θ,θ)-导子,并带有伴随(θ,θ)-导子d。若对任意x,y,α∈J,满足F (xy)=αF (y)且θ(x)≠α,则d=0或J在环R的中心上。若满足F (xy)=βF (x)且θ(x)β≠βθ(x),则d=0或J在环R的中心上。用广义导子的相关性质研究与其对应的映射之间的关系。Let R be a 2-torsion free prime ring and J be a nonzero Jordan ideal and a subring of R.Supposeθis an automorphism of R and F:R→R is a generalized(θ,θ)-derivation with associated(θ,θ)-derivation d.If F(xy)=αF(y)withθ(x)≠α,then either d=0 on R or J⊆Z(R).If F(xy)=βF(x)withθ(x)β≠βθ(x),then either d=0 on R or J⊆Z(R).The relationship between generalized derivation and its corresponding mapping is studied by using the related properties of generalized derivation.

关 键 词：素环 Jordan理想 导子 广义导子 

分 类 号：O153.3[理学—数学]