广义Loop-Witt代数的2-局部齐次导子  

2-Local Homogeneous Derivations of Generalized Loop-Witt Algebras

作　　者：黄杰 王宪栋 

机构地区：[1]青岛大学数学与统计学院,山东 青岛

出　　处：《理论数学》2020年第2期43-48,共6页Pure Mathematics

基　　金：本文受到国家自然科学基金项目(11472144)资助。

摘　　要：讨论了广义Loop-Witt代数WL(Γ)的2-局部导子的结构;给出了2-局部齐次导子的概念,并研究了它们的性质;证明了Γ当是整数加法群或有理数加法群时,广义Loop-Witt代数上的所有2-局部齐次导子均为导子。In the present paper, 2-local derivations of the generalized Loop-Witt algebra were discussed. The concept of a 2-local homogeneous derivation was given and their properties were obtained. Finally, all the 2-local homogeneous derivations are determined to be derivations in case of the additive group of integers or additive group of rationals.

关 键 词：广义的Loop-Witt代数 导子 2-局部导子 2-局部齐次导子 

分 类 号：G63[文化科学—教育学]