C-Ideals of Lie Algebras
| dc.creator | Towers, David A. | |
| dc.date | 2008-11-17 | |
| dc.date.accessioned | 2026-07-07T10:18:50Z | |
| dc.date.available | 2026-07-07T10:18:50Z | |
| dc.description | 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. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0811.2689 | |
| dc.identifier | http://arxiv.org/abs/0811.2689 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174327 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B05, 17B20, 17B30, 17B50. | |
| dc.title | C-Ideals of Lie Algebras | |
| dc.type | text |