Independence spaces and uniform modules
type: Item
instance of: scholarly article
title: Independence spaces and uniform modules
zbMATH Open document ID: 0618.05015
DOI: 10.1016/S0195-6698(85)80018-4
author: Jeremy E. Dawson
published in: European Journal of Combinatorics
publication date: 1985-01-01T00:00:00Z
review text: It is shown that an independence structure can be defined in a natural way on the set of uniform submodules of a module. Such an independence structure is modular. Thus, if it is connected and of rank at least three, it is a projective geometry coordinatizable over a division ring, of which we give a construction in terms of the module elements.
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 4002111
zbMATH Keywords: independence structure
zbMATH Keywords: module
zbMATH Keywords: projective geometry
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4002111