C-Supplemented Subalgebras of Lie Algebras

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dc.creatorTowers, David A.
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:35Z
dc.date.available2026-07-07T08:50:35Z
dc.descriptionA subalgebra $B$ of a Lie algebra $L$ is {\em c-supplemented} in $L$ if there is a subalgebra $C$ of $L$ with $L = B + C$ and $B \cap C \leq B_L$, where $B_L$ is the core of $B$ in $L$. This is analogous to the corresponding concept of a c-supplemented subgroup in a finite group. We say that $L$ is {\em c-supplemented} if every subalgebra of $L$ is c-supplemented in $L$. We give here a complete characterisation of c-supplemented Lie algebras over a general field.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0712.3390
dc.identifierhttp://arxiv.org/abs/0712.3390
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144649
dc.subjectRings and Algebras
dc.subject17B05
dc.titleC-Supplemented Subalgebras of Lie Algebras
dc.typetext

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