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.
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。
