Solvable Complemented Lie Algebras

Details Solvable Complemented Lie Algebras Solvable Complemented Lie Algebras

2011-04-19

arxiv.org/abs/1104.3772v1

Mathematics

Rings and Algebras

Scientific paper

In this paper a characterisation is given of solvable complemented Lie
algebras. They decompose as a direct sum of abelian subalgebras and their
ideals relate nicely to this decomposition. The class of such algebras is shown
to be a formation whose residual is the ideal closure of the prefrattini
subalgebras.

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