On Semi-Modular Subalgebras of Lie Algebras Over Fields of Arbitrary Characteristic
| dc.creator | Towers, David A. | |
| dc.date | 2008-04-09 | |
| dc.date | 2008-06-19 | |
| dc.date.accessioned | 2026-07-07T09:45:15Z | |
| dc.date.available | 2026-07-07T09:45:15Z | |
| dc.description | This paper is a further contribution to the extensive study by a number of authors of the subalgebra lattice of a Lie algebra. It is shown that, in certain circumstances, including for all solvable algebras, for all Lie algebras over algebraically closed fields of characteristic p > 0 that have absolute toral rank less than or equal to 1 or are restricted, and for all Lie algebras having the one-and-a-half generation property, the conditions of modularity and semi-modularity are equivalent, but that the same is not true for all Lie algebras over a perfect field of characteristic three. Semi-modular subalgebras of dimensions one and two are characterised over (perfect, in the case of two-dimensional subalgebras) fields of characteristic different from 2, 3. | |
| dc.identifier | https://arxiv.org/abs/0804.1468 | |
| dc.identifier | http://arxiv.org/abs/0804.1468 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163134 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B05, 17B50, 17B30, 17B20 | |
| dc.title | On Semi-Modular Subalgebras of Lie Algebras Over Fields of Arbitrary Characteristic | |
| dc.type | text |