Finite Generation of Lie Derived Powers of Skew Lie Algebras

作     者：Adel Alahmadi Fawziah Alharthi 

作者机构：Department of MathematicsResearch Group of Algebraic Structures and Applications Deanship of Scientific ResearchKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of MathematicsCollege of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of MathematicsCollege of ScienceQassim University Buraydah 51482Saudi Arabia 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2022年第29卷第2期

页      面：217-220页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：funded by King Abdulaziz University Deanship of Scientific Research(grant number RG-50-130-39) 

主　　题：associative algebra Lie subalgebra finitely generated 

摘      要：Let A be a finitely generated associative algebra over a field of characteristic different from *** asked when the Lie algebra[A,A]is finitely ***,it was shown that for a finitely generated nil algebra A all derived powers of A are finitely generated Lie *** K be the Lie algebra of skew-symmetric elements of an associative algebra with *** consider all derived powers of the Lie algebra K and prove that for any finitely generated associative nil algebra with an involution,all derived powers of K are finitely generated Lie algebras.