Subdirect decomposition of concept lattices
type: Item
instance of: scholarly article
title: Subdirect decomposition of concept lattices
zbMATH Open document ID: 0539.06006
DOI: 10.1007/BF01194537
author: Rudolf Wille
published in: Algebra Universalis
publication date: 1983-01-01T00:00:00Z
review text: This paper is a continuation of a previous paper of the author where the basic theorem for ''concept lattices'' has been given [Ordered sets, Proc. NATO Adv. Study Inst., Banff/Can. 1981, 445-470 (1982; Zbl 0491.06008)]. A concept lattice can be regarded as a complete meet-sublattice of the power set lattice of ''objects'' determined by the Galois connection given by the ''attributes'' in the obvious way. The purpose of the paper is for some special kind of context to determine the ''scaffolding'' the concept lattice which is a partial join-semilattice. From this result one can determine the concept lattice using an earlier result of the author.
Mathematics Subject Classification ID: 06A15
Mathematics Subject Classification ID: 06B23
Mathematics Subject Classification ID: 06B05
Mathematics Subject Classification ID: 06B15
zbMATH DE Number: 3857177
zbMATH Keywords: concept lattice
zbMATH Keywords: complete meet-sublattice
zbMATH Keywords: power set lattice
zbMATH Keywords: Galois connection
zbMATH Keywords: partial join-semilattice
reviewed by: Ervin Fried
MaRDI profile type: Publication
cites work: Subdirect unions in universal algebra
cites work: Q5532570
cites work: Q3781810
cites work: Q3956998
cites work: A topological representation theory for lattices
cites work: Subdirekte Produkte und konjunkte Summen.
cites work: Subdirekte Produkte vollständiger Verbände.
cites work: Q3952147
full work available at URL: https://doi.org/10.1007/bf01194537
OpenAlex ID: W1980546766
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description: scientific article; zbMATH DE number 3857177