发表机构
Northeast Normal University（东北师范大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文利用自反包统一局部与几乎内导子，证明两个相关猜想，揭示其李代数结构。
AI 中文摘要
本文利用自反包来统一局部导子和几乎内导子的概念。通过研究自反包的代数结构，我们证明了Ayupov、Elduque和Kudaybergenov（\textit{J. Pure Appl. Algebra}，2023）提出的关于局部导子结构的猜想，以及Burde、Dekimpe和Verbeke（\textit{J. Algebra Appl.}，2018）提出的关于几乎内导子结构的猜想。
英文摘要
In this paper, we utilize the reflexive hull to unify the concepts of local and almost inner derivations. By investigating the algebraic structure of reflexive hulls, we prove the conjecture on the structure of local derivations proposed by Ayupov, Elduque, and Kudaybergenov (\emph{J. Pure Appl. Algebra}, 2023), as well as the conjecture concerning the structure of almost inner derivations proposed by Burde, Dekimpe, and Verbeke (\emph{J. Algebra Appl.}, 2018).
Comments10 pages
Journal refIsrael J. Math., 2026
