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
孔亮 1李粉红2
作者信息
- 1. 商洛学院数学与计算机应用学院,陕西商洛 726000;陕西师范大学数学与统计学院,陕西西安 710119
- 2. 商洛学院数学与计算机应用学院,陕西商洛 726000
- 折叠
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R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.
Abstract
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Key words
multiplicative mixed skew Lie(Jordan)derivation/prime*-ring/additivity引用本文复制引用
出版年
2024
NETL
NSTL
万方数据