On action of outer derivations on nilpotent ideals of Lie algebras

Action of outer derivations on nilpotent ideals of Lie algebras are considered.  It is shown that for a nilpotent ideal \(I\) of a Lie algebra \(L\) over a field \(F\) the ideal \(I+D(I)\) is nilpotent, provided that \(charF=0\) or \(I\)  nilpotent of nilpotency class less than \(p-1\), where \(p=ch...

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Bibliographic Details
Date:2018
Main Author: Maksimenko, Dmitriy V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/770
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics