Homomorhisms of Moufang-Veldkamp planes
type: Item
instance of: scholarly article
title: Homomorhisms of Moufang-Veldkamp planes
zbMATH Open document ID: 0778.51003
DOI: 10.1007/BF01263621
published in: Geometriae Dedicata
publication date: 1994-01-03T00:00:00Z
review text: Moufang-Veldkamp planes are generalized projective planes namely those which can be coordinatized by unital alternative rings of stable rank 2 [\textit{J. R. Faulkner}, Geom. Dedicata 14, 189-201 (1983; Zbl 0524.51004)]. Any ``nontrivial'' homomorphism between such rings \(R\), \(R'\) induces a homomorphism between the corresponding planes \(P_ 2(R)\), \(P_ 2(R')\) (3.1). Theorem (4.6) shows which homomorphisms between planes can be described in such a way.
Mathematics Subject Classification ID: 51C05
Mathematics Subject Classification ID: 51A10
Mathematics Subject Classification ID: 17C50
zbMATH DE Number: 205515
zbMATH Keywords: projective ring plane
zbMATH Keywords: incidence-preserving mapping
zbMATH Keywords: Barbilian plane
zbMATH Keywords: Jordan pair
author: Joseph C. Ferrar
reviewed by: Herbert Hotje
MaRDI profile type: Publication
cites work: Coordinatization of Moufang Veldkamp planes
cites work: Stable range and linear groups for alternative rings
cites work: Homomorphisms of Moufang planes and alternative places
cites work: Admissible subrings revisited
cites work: Neighbor-preserving homomorphisms between projective ring planes
cites work: Projektive Geometrien mit Homomorphismus
cites work: Q3697812
cites work: Q3697811
full work available at URL: https://doi.org/10.1007/bf01263621
OpenAlex ID: W2085934680
description: scientific article; zbMATH DE number 205515