Geometrical maps in ring affine geometries
type: Item
instance of: scholarly article
title: Geometrical maps in ring affine geometries
zbMATH Open document ID: 1270.51004
author: Alexander Lashkhi
author: T. G. Kvirikashvili
published in: Journal of Mathematical Sciences (New York)
publication date: 2013-04-23T00:00:00Z
review text: This article gives an overview without proofs on affine geometries on modules over rings and associated fundamental theorems. In particular, three types of such geometries are introduced. Their collinations are described algebraically via affine semilinear mappings. The rings under consideration have to satisfy certain versions of the invariant basis number condition.
reviewed by: Andrea Blunck
Mathematics Subject Classification ID: 51C05
zbMATH DE Number: 6156783
zbMATH Keywords: affine geometry over rings
zbMATH Keywords: fundamental theorem
zbMATH Keywords: affine semilinear map
zbMATH Keywords: invariant basis number
MaRDI profile type: Publication
full work available at URL: s10958-012-1030-x
OpenAlex ID: W2003118687
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DOI: 10.1007/S10958-012-1030-X
description: scientific article; zbMATH DE number 6156783