Non-existence of collineations equivalent to some loop laws |
| |
| Authors: | Professor R. Artzy |
| |
| Affiliation: | (1) Department of Mathematics, Temple University, 19122 Philadelphia, PA, USA |
| |
| Abstract: | If in a translation plane there is a set of collineations whose existence is necessary and sufficient for the validity of the multiplicative left-inversive law, the weak-inversive law, the anti-automorphicinverse law, or the left Bol law in one of the coordinatizing right quasifields, then the plane is a Moufang plane. The same holds also for the Moufang law, if the coordinatizing quasifield is not the Hall system of order 9. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
