Non-Arguesian configurations and gluings of modular lattices
type: Item
instance of: scholarly article
title: Non-Arguesian configurations and gluings of modular lattices
zbMATH Open document ID: 0675.06006
DOI: 10.1007/BF01236867
author: Alan Day
author: Bjarni Jónsson
published in: Algebra Universalis
publication date: 1989-01-01T00:00:00Z
review text: This is the third in a series of papers investigating the structural implications of the Arguesian law for modular lattices [see also the authors' papers in Order 2, 335-350 (1986; Zbl 0585.06003) and Acta Sci. Math. 51, No.3/4, 309-318 (1987; Zbl 0656.06010)]. The first two theorems concern situations in which, for a lattice glued from a filter and an ideal which are both Arguesian, one can locate any non-Arguesian configuration - and so get sufficient conditions for the whole lattice to be Arguesian. The second part of the paper relates the types of the non- Arguesian configurations to the structure of the skeleton of the lattice.
Mathematics Subject Classification ID: 06C05
zbMATH DE Number: 4105030
zbMATH Keywords: Arguesian lattice
zbMATH Keywords: Arguesian law
zbMATH Keywords: modular lattices
zbMATH Keywords: non-Arguesian configuration
zbMATH Keywords: skeleton
reviewed by: Christian Herrmann
MaRDI profile type: Publication
cites work: A structural characterization of non-Arguesian lattices
cites work: Q3803171
cites work: S-verklebte Summen von Verbänden
full work available at URL: https://doi.org/10.1007/bf01236867
OpenAlex ID: W2033285163
description: scientific article; zbMATH DE number 4105030