Spread construction of affine partial linear spaces
type: Item
instance of: scholarly article
title: Spread construction of affine partial linear spaces
zbMATH Open document ID: 1017.51005
published in: Journal of Geometry
publication date: 2003-08-19T00:00:00Z
review text: Affine partial linear spaces (APLSs) were introduced by \textit{K. Radziszewski} [J. Geom. 71, 144-156 (2001; Zbl 1010.51003)]. They are partial linear spaces equipped with a parallelity satisfying Euclid's postulate as well as some basic properties of affine spaces. In the present paper, the author presents algebraic conditions on a pair \((V, {\mathcal G})\), where \(V\) is a vector space and \({\mathcal G}\) a distinguished family of vector subspaces of \(V\), which are equivalent to some axioms arising naturally in the context of APLSs. The independence of some of the axioms is also proved.
Mathematics Subject Classification ID: 51A15
Mathematics Subject Classification ID: 51A40
zbMATH DE Number: 1760634
author: M. Prażmowska
reviewed by: Victor V. Pambuccian
MaRDI profile type: Publication
full work available at URL: s00022-001-8578-9
OpenAlex ID: W2025880896
DOI: 10.1007/S00022-001-8578-9
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description: scientific article; zbMATH DE number 1760634