Towers, David A.
(2009)
*C-Ideals of Lie Algebras.*
Communications in Algebra, 37 (12).
pp. 4366-4373.
ISSN 0092-7872

## Abstract

A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of L contained in B. This is analogous to the concept of c-normal subgroup, which has been studied by a number of authors. We obtain some properties of c-ideals and use them to give some characterisations of solvable and supersolvable Lie algebras. We also classify those Lie algebras in which every one-dimensional subalgebra is a c-ideal.

Item Type:

Journal Article

Journal or Publication Title:

Communications in Algebra

Additional Information:

The final, definitive version of this article has been published in the Journal, Communications in Algebra, 37 (12), 2009, © Informa Plc

Uncontrolled Keywords:

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

Subjects:

?? lie algebrasc-idealnilpotentsolvablesupersolvablefrattini ideal.algebra and number theoryqa mathematics ??

Departments:

ID Code:

19877

Deposited By:

Deposited On:

18 Nov 2008 09:55

Refereed?:

Yes

Published?:

Published

Last Modified:

15 Jul 2024 09:47