The connected components of the projective line over a ring

DOI10.1515/advg.2001.008zbMath0992.51003arXiv1304.0167OpenAlexW1968972270MaRDI QIDQ2726404

Andrea Blunck, Hans Havlicek

Publication date: 17 July 2001

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0167

zbMATH Keywords

projective line over a ring

Mathematics Subject Classification ID

Other matrix groups over rings (20H25) Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (15)

Projective completions of Jordan pairs. I: The generalized projective geometry of a Lie algebra ⋮ Projective points over matrices and their separability properties ⋮ Free cyclic submodules in the context of the projective line ⋮ Geometric structures on finite- and infinite-dimensional Grassmannians ⋮ Affine planes over finite rings, a summary ⋮ The shortest path problem for the distant graph of the projective line over the ring of integers ⋮ Divisible designs, Laguerre geometry, and beyond ⋮ The Cayley property of some distant graphs and relationship with the Stern-Brocot tree ⋮ Matrix projective spaces and twistorlike incidence structures ⋮ Geometry of self-dual flats over a PID on a polarity ⋮ The Cayley graph of Neumann subgroups ⋮ Top stars and isomorphisms of Grassmann graphs ⋮ On bijections that preserve complementarity of subspaces ⋮ Projective completions of Jordan pairs. II: Manifold structures and symmetric spaces ⋮ Von Staudt's theorem revisited

Cites Work

• On some discretely normed rings of functions being not \(GE_ 2\)-rings.
• A nontrivial locally trivial algebra
• Reguli and chains over skew fields
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