Dimension equations in modular lattices
type: Item
instance of: scholarly article
title: Dimension equations in modular lattices
zbMATH Open document ID: 0599.06007
DOI: 10.1007/BF01190735
author: Alan Day
published in: Algebra Universalis
publication date: 1986-01-01T00:00:00Z
review text: This investigation is part of a program relating the geometry of modular lattices with their equational theory. Here, the exclusion of n-1- dimensional gluings of two n-frames is characterized. For \(n=3\) this leads to the variety of quasiplanes in which the subdirectly irreducibles generated by a 3-frame and the associated ternary coordinate ring are precisely the projective planes.
Mathematics Subject Classification ID: 06C05
Mathematics Subject Classification ID: 51A25
Mathematics Subject Classification ID: 51E15
zbMATH DE Number: 3966144
zbMATH Keywords: geometry of modular lattices
zbMATH Keywords: equational theory
zbMATH Keywords: gluings
zbMATH Keywords: n-frames
zbMATH Keywords: variety of quasiplanes
zbMATH Keywords: subdirectly irreducibles
zbMATH Keywords: coordinate ring
zbMATH Keywords: projective planes
reviewed by: Christian Herrmann
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01190735
OpenAlex ID: W1982814228
description: scientific article; zbMATH DE number 3966144