Affine geometry over free unitary modules

DOI10.1007/BF01220474zbMath0581.51007OpenAlexW2025967252MaRDI QIDQ1067606

Klaus Wolf, Rainer Severin, Werner Leissner

Publication date: 1985

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01220474

zbMATH Keywords

parallelismincidence structureaffine Barbilian-spacesBarbilian domaincrossline basislittle axiom of Desarguesnon-neighbouredtranslation structure

Mathematics Subject Classification ID

Ring geometry (Hjelmslev, Barbilian, etc.) (51C05)

Related Items (7)

\(n\)-Barbilian domains ⋮ Representation of hyperplanes in generalized affine spaces by modules ⋮ On classifying affine Barbilian spaces ⋮ Affine planes over finite rings, a summary ⋮ Translations in affine Klingenberg spaces ⋮ Rings of stable rank 2 are Barbilian rings ⋮ A system of axioms for projective Hjelmslev spaces

Cites Work

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• Affine Barbilian structures
• Affine Barbilian-Ebenen. I
• Parallelodromie-Ebenen
• On Barbilian domains over commutative rings
• Ebene Geometrie über einem Ring

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