Location of Repository

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

Year: 2008

OAI identifier:
oai:eprints.lancs.ac.uk:860

Provided by:
Lancaster E-Prints

- (1973). A Frattini theory for algebras’,
- (1980). Complements to subalgebras of Lie algebras’,
- (2007). Elementary Lie algebras and Lie A-algebras’,
- (1970). Frattini subalgebras of a class of solvable Lie algebras’,
- (1981). On Lie algebras in which modular pairs of subalgebras are permutable’,
- (1967). On the cohomology of soluble Lie algebras’,
- (1976). Quasi-ideals of Lie algebras II’,
- (2000). Yanming Wang and Guo Xiuyun, ‘Csupplemented subgroups of ﬁnite groups’,

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.