Algebras and groups defined by permutation relations of alternating type
| dc.creator | Cedo, Ferran | |
| dc.creator | Jespers, Eric | |
| dc.creator | Okninski, Jan | |
| dc.date | 2009-04-16 | |
| dc.date.accessioned | 2026-07-07T13:04:57Z | |
| dc.date.available | 2026-07-07T13:04:57Z | |
| dc.description | The class of finitely presented algebras over a field $K$ with a set of generators $a_{1},..., a_{n}$ and defined by homogeneous relations of the form $a_{1}a_{2}... a_{n} =a_{σ(1)} a_{σ(2)} ... a_{σ(n)}$, where $σ$ runs through $\Alt_{n}$, the alternating group, is considered. The associated group, defined by the same (group) presentation, is described. A description of the radical of the algebra is found. It turns out that the radical is a finitely generated ideal that is nilpotent and it is determined by a congruence on the underlying monoid, defined by the same presentation. | |
| dc.identifier | https://arxiv.org/abs/0904.2447 | |
| dc.identifier | http://arxiv.org/abs/0904.2447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/227350 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S15; 16S36; 20M05; 20M25; 16N20 | |
| dc.title | Algebras and groups defined by permutation relations of alternating type | |
| dc.type | text |