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RESEARCH PRODUCT
On point-irreducible projective lattice geometries
Marcus GreferathStefan E. Schmidtsubject
Discrete mathematicsClass (set theory)Pure mathematicsLattice (module)Chain (algebraic topology)Local ringContext (language use)Point (geometry)Geometry and TopologyAlgebraic numberUnitary stateMathematicsdescription
Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1994-07-01 | Journal of Geometry |