Towers, David A.
(2008)
*C-Supplemented Subalgebras of Lie Algebras.*
Journal of Lie Theory, 18 (3).
pp. 717-724.

## Abstract

A subalgebra $B$ of a Lie algebra $L$ is c-{\it 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 c-{\it 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.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Lie Theory

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? lie algebrasc-supplemented subalgebrascompletely factorisable algebrasfrattini idealsubalgebras of codimension one.algebra and number theoryqa mathematics ??

Departments:

ID Code:

860

Deposited By:

Deposited On:

19 Dec 2007 16:06

Refereed?:

Yes

Published?:

Published

Last Modified:

03 Nov 2024 01:00