6533b820fe1ef96bd1279939
RESEARCH PRODUCT
The coordinatization of affine planes by rings
Stefan E. SchmidtRalph Steinitzsubject
Affine geometryAffine coordinate systemCombinatoricsAffine geometry of curvesAffine representationAffine hullAffine groupGeometry and TopologyAffine transformationAffine planeMathematicsdescription
With every unitary free module of rank 2 there is naturally associated a generalized affine plane (e.g. the lines are just the cosets of all nonzero 1-generated submodules). Here we solve the converse problem by coordinatizing a given generalized affine plane which satisfies certain versions of Desargues' postulate.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-10-01 | Geometriae Dedicata |