Distributive laws for concept lattices
type: Item
instance of: scholarly article
title: Distributive laws for concept lattices
zbMATH Open document ID: 0795.06006
DOI: 10.1007/BF01195382
author: Marcel Erné
published in: Algebra Universalis
publication date: 1994-01-19T00:00:00Z
review text: The central theme of this fascinating paper is an investigation of the connection between various types of distributive lattices and notions involving formal concept analysis as developed by R. Wille and his coworkers at Darmstadt. The paper is much too long and detailed to allow a detailed description of the results in this review. Suffice it to say that necessary and sufficient conditions are found for a concept lattice to be one of the following types: distributive, completely distributive, a frame, isomorphic to a topology, algebraic and completely distributive. Many other types of distributive lattices are characterized.
Mathematics Subject Classification ID: 06B23
Mathematics Subject Classification ID: 06A15
Mathematics Subject Classification ID: 06D05
Mathematics Subject Classification ID: 06D10
zbMATH DE Number: 488267
zbMATH Keywords: completion by cuts
zbMATH Keywords: join- and meet-dense
zbMATH Keywords: formal concept analysis
zbMATH Keywords: concept lattice
zbMATH Keywords: frame
reviewed by: Melvin F. Janowitz
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01195382
OpenAlex ID: W2101365774
description: scientific article; zbMATH DE number 488267