Lattice varieties covering \(V(L_ 1)\)
type: Item
instance of: scholarly article
title: Lattice varieties covering \(V(L_ 1)\)
zbMATH Open document ID: 0626.06009
DOI: 10.1007/BF01237718
author: J. B. Nation
published in: Algebra Universalis
publication date: 1986-01-01T00:00:00Z
review text: The following problem is open: does every variety generated by a finite lattice have only finitely many covers, each generated by a finite lattice? The author develops methods concerning this problem. Applying his approach he proves: if L is the seven-element non-modular dual- semimodular lattice then the variety V(L) generated by L has only finitely many (twenty-five) covers, each of these varieties is generated by a finite lattice; all these generators are given.
Mathematics Subject Classification ID: 06B20
Mathematics Subject Classification ID: 08B15
zbMATH DE Number: 4016969
zbMATH Keywords: variety generated by a finite lattice
zbMATH Keywords: covers
zbMATH Keywords: generators
reviewed by: Tamás Schmidt
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01237718
OpenAlex ID: W2056577654
description: scientific article; zbMATH DE number 4016969