A counterexample to the finite height conjecture
type: Item
instance of: scholarly article
title: A counterexample to the finite height conjecture
zbMATH Open document ID: 0861.06004
DOI: 10.1007/BF00383963
author: J. B. Nation
published in: Order
publication date: 1997-05-11T00:00:00Z
review text: The authors construct an infinite subdirectly irreducible lattice \(L\) and a finite lattice \(F\) such that \({\mathcal V}(L) \succ {\mathcal V}(F)\). A modification of this construction yields a finite lattice which generates a variety with infinitely many finitely generated covers.
Mathematics Subject Classification ID: 06B20
zbMATH DE Number: 947538
zbMATH Keywords: finite height conjecture
zbMATH Keywords: lattice variety
zbMATH Keywords: subdirectly irreducible lattice
Wikidata QID: Q123133364
MaRDI profile type: Publication
cites work: Q4361780
cites work: Congruence Normal Covers of Finitely Generated Lattice Varieties
cites work: The structure of modular lattices of width four with applications to varieties of lattices
cites work: Equational classes of lattices
cites work: Covering relations among lattice varieties
cites work: Equational Classes of Lattices.
cites work: Lattice varieties covering the smallest non-modular variety
cites work: Almost distributive lattice varieties
cites work: Lattice varieties covering \(V(L_ 1)\)
cites work: An approach to lattice varieties of finite height
cites work: Nonmodular lattice varieties
Recommended article: A counterexample to the dimension conjecture
Recommended article: A counterexample to Durfee conjecture
Recommended article: An Elementary Counterexample to the Finiteness Conjecture
Recommended article: A counterexample to Bueler’s conjecture
Recommended article: A Counterexample to Comon's Conjecture
Recommended article: A counterexample to Borsuk’s conjecture
Recommended article: A counter-example to Hausmann's conjecture
Recommended article: A counterexample to Raikov's conjecture
Recommended article: A counterexample to the Hirsch conjecture
Recommended article: A counterexample to Valette's conjecture
description: scientific article; zbMATH DE number 947538