Categories of projective geometries with morphisms and homomorphisms
type: Item
instance of: scholarly article
title: Categories of projective geometries with morphisms and homomorphisms
zbMATH Open document ID: 0948.51001
DOI: 10.1023/A:1005222520379
published in: Geometriae Dedicata
publication date: 2000-11-12T00:00:00Z
review text: Projective geometries are introduced in the framework of Pasch geometries, as defined by \textit{D. K. Harrison} [Pac. J. Math. 80, 451-491 (1979; Zbl 0415.20022)], conditions on semi-linear maps to induce homomorphisms are provided, and several categories of projective geometries defined. A projective geometry is shown to be Desarguesian iff it is the homomorphic image of a higher-dimensional Desarguesian projective geometry.
reviewed by: Victor V. Pambuccian
Mathematics Subject Classification ID: 51A05
Mathematics Subject Classification ID: 51A10
zbMATH DE Number: 1384066
zbMATH Keywords: homomorphisms
zbMATH Keywords: categories of projective geometries
author: Hom Nath Bhattarai
MaRDI profile type: Publication
full work available at URL: a:1005222520379
OpenAlex ID: W199280800
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description: scientific article; zbMATH DE number 1384066