Bruck decomposition for endomorphisms of quasigroups
| dc.creator | Nagy, P. T. | |
| dc.creator | Plaumann, P. | |
| dc.date | 2009-02-06 | |
| dc.date | 2009-04-30 | |
| dc.date.accessioned | 2026-07-07T13:09:46Z | |
| dc.date.available | 2026-07-07T13:09:46Z | |
| dc.description | In the year 1944 R. H. Bruck has described a very general construction method which he called the extension of a set by a quasigroup. We use it to construct a class of examples for LF-quasigroups in which the image of the map $e(x)=x\backslash x$ is a group. More generally, we consider the variety of quasigroups which is defined by the property that the map $e$ is an endomorphism and its subvariety where the image of the map $e$ is a group. We characterize quasigroups belonging to these varieties using their Bruck decomposition with respect to the map $e$. | |
| dc.description | to appear in Journal of Generalized Lie Theory and Applications | |
| dc.identifier | https://arxiv.org/abs/0902.1062 | |
| dc.identifier | http://arxiv.org/abs/0902.1062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228849 | |
| dc.subject | Group Theory | |
| dc.subject | 20N05 | |
| dc.title | Bruck decomposition for endomorphisms of quasigroups | |
| dc.type | text |