6533b827fe1ef96bd1286501
RESEARCH PRODUCT
Projective spaces on partially ordered sets and Desargues' postulate
Stefan E. Schmidtsubject
Discrete mathematicsPure mathematicsProjective harmonic conjugateCollineationComplex projective spaceProjective spaceGeometry and TopologyProjective planeQuaternionic projective spaceNon-Desarguesian planeProjective geometryMathematicsdescription
We introduce a generalized concept of projective and Desarguean space where points (and lines) may be of different size. Every unitary module yields an example when we take the 1-and 2-generated submodules as points and lines. In this paper we develop a method of constructing a wide range of projective and Desarguean spaces by means of lattices.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-02-01 | Geometriae Dedicata |