素*-环上可乘混合斜Lie(Jordan)导子的可加性  

Additivity of Multiplicative Mixed Skew Lie (Jordan)Derivations on Prime *-Rings

作　　者：孔亮 李粉红 KONG Liang;LI Fen-hong(School of Mathematics and Computer Application,Shangluo University,Shangluo726000,Shaanxi;School of Mathematics and Statistics,Shaanxi Normal University,Xi'an710119,Shaanxi)

机构地区：[1]商洛学院数学与计算机应用学院,陕西商洛726000 [2]陕西师范大学数学与统计学院,陕西西安710119

出　　处：《商洛学院学报》2024年第6期12-15,共4页Journal of Shangluo University

基　　金：陕西省自然科学基础研究计划项目(2024JC-YBMS-062);商洛学院科研基金项目(21SKY104)。

摘　　要：设R是包含非平凡投影且有单位元的2-无挠素*-环。为了研究上可乘混合斜Lie(Jordan)导子的可加性,利用代数分解的方法证明了R上的可乘混合斜Lie(Jordan)导子是自动可加的映射。作为可加性的应用,证明了因子von Neumann代数上的可乘混合斜Lie(Jordan)导子为0,丰富了可乘映射的内容和结论。Let R be a 2-torsion free unital prime*-ring containing a nontrivial projection.In order to study the additivity of multiplicative mixed skew Lie(Jordan)derivations on R,using method of algebraic decomposition,we proved that every multiplicative mixed skew Lie(Jordan)derivation on R is an automatically additive mapping.As an application,it is proved that every multiplicative mixed skew Lie(Jordan)derivation on factor von Neumann algebras is 0.These enriched the content and conclusions of multiplicative mappings.

关 键 词：可乘混合斜Lie(Jordan)导子 素*-环 可加性 

分 类 号：O177.1[理学—数学]