广义Loop-Witt代数的2-局部齐次导子
2-Local Homogeneous Derivations of Generalized Loop-Witt Algebras
DOI: 10.12677/PM.2020.102008, PDF,    国家自然科学基金支持
作者: 黄 杰, 王宪栋：青岛大学数学与统计学院，山东 青岛
关键词: 广义的Loop-Witt代数；导子；2-局部导子；2-局部齐次导子；Generalized Loop-Witt Algebras； Derivation； 2-Local Derivation； 2-Local Homogeneous Derivation
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。
Abstract: 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.
文章引用：黄杰, 王宪栋. 广义Loop-Witt代数的2-局部齐次导子[J]. 理论数学, 2020, 10(2): 43-48. https://doi.org/10.12677/PM.2020.102008

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