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RESEARCH PRODUCT
On stable geometries
Stefan E. SchmidtMarcus Greferathsubject
Pure mathematicsDifferential geometryRank (linear algebra)GeneralizationHyperbolic geometryStructure (category theory)Geometry and TopologyAlgebraic geometryLattice (discrete subgroup)MathematicsProjective geometrydescription
Within the concept of projective lattice geometry we are considering the class of stable geometries which have also been introduced in [14]. The investigation of their basic properties will result in fundamental structure theorems which especially give a lattice-geometric characterization of free left modules of rank ≥6 over proper right Bezout rings of stable rank 2. This yields a proper generalization of previous results of ours.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-06-01 | Geometriae Dedicata |