Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584502 | Journal of Algebra | 2015 | 9 Pages |
Abstract
Let M be a maximal subalgebra of a Lie algebra L and A/BA/B a chief factor of L such that B⊆MB⊆M and A⊈MA⊈M. We call the factor algebra M∩A/BM∩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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David A. Towers,