Towers, David
(2015)
*C-sections of Lie algebras.*
Journal of Algebra, 427.
pp. 76-84.
ISSN 0021-8693

## Abstract

Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A ⊄ M. We call the factor algebra M ∩ A/B a c-section of M. All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.

Item Type:

Journal Article

Journal or Publication Title:

Journal of Algebra

Uncontrolled Keywords:

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

Subjects:

?? c-sectionc-idealideal index primitive solvablenilpotent nil restricted lie algebraalgebra and number theory ??

Departments:

ID Code:

72016

Deposited By:

Deposited On:

03 Dec 2014 08:57

Refereed?:

No

Published?:

Published

Last Modified:

15 Jul 2024 14:59