Algebraic characterization of lineations on subsets of Desarguesian affine spaces

DOI10.1007/BF01222691zbMath0855.51003OpenAlexW2043185750MaRDI QIDQ1919313

Martin Saltzwedel

Publication date: 16 February 1997

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

Full work available at URL: https://doi.org/10.1007/bf01222691

zbMATH Keywords

fundamental theorem of affine geometrylineation

Mathematics Subject Classification ID

Algebraization in linear incidence geometry (51A25)

Cites Work

• About full or injective lineations
• Lineare Algebra und Geometrie
• Darstellung nicht-injektiver Kollineationen eines projektiven Raumes durch verallgemeinerte semilineare Abbildungen
• Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft
• On collineations on three and on four lines in a projective plane
• Non-injective collineations on some sets in Desarguesian projective planes and extension of non-commutative valuations
• Extension of collineations defined on certain sets of a Desarguesian projective plane
• Extension of collineations defined on subsets of a translation plane
• On the characterization of plane projective and complex MOEBIUS‐transformations
• Congruence-Preserving Isomorphisms of the Translation Group associated with a Translation Plane
• Collinearity-preserving functions between Desarguesian planes
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