A note on congruence lattices of slim semimodular lattices.
type: Item
instance of: scholarly article
title: A note on congruence lattices of slim semimodular lattices.
zbMATH Open document ID: 1312.06006
author: Gábor Czédli
published in: Algebra Universalis
publication date: 2014-11-14T00:00:00Z
review text: In this paper, the author provides an eight element slim distributive lattice that cannot be represented as the congruence lattice of a slim semimodular lattice.
Mathematics Subject Classification ID: 06C10
Mathematics Subject Classification ID: 06B15
Mathematics Subject Classification ID: 08A30
Mathematics Subject Classification ID: 06D75
zbMATH DE Number: 6369491
zbMATH Keywords: rectangular lattices
zbMATH Keywords: planar lattices
zbMATH Keywords: semimodular lattices
zbMATH Keywords: congruence lattices
zbMATH Keywords: slim distributive lattices
reviewed by: Fang Jie
MaRDI profile type: Publication
full work available at URL: s00012-014-0286-z
OpenAlex ID: W2049155278
cites work: Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices
cites work: Patch extensions and trajectory colorings of slim rectangular lattices.
cites work: The Jordan-Hölder theorem with uniqueness for groups and semimodular lattices
cites work: Slim semimodular lattices. I. A visual approach
cites work: Slim semimodular lattices. II: A description by patchwork systems
cites work: Lattice Theory: Foundation
cites work: Congruences of fork extensions of slim, planar, semimodular lattices
cites work: Notes on planar semimodular lattices. I. Construction
cites work: Q3539447
cites work: Q3653813
cites work: Congruence Lattices of Finite Semimodular Lattices
cites work: Ideals and congruence relations in lattices
cites work: Congruence relations and weak projectivity in lattices
cites work: Planar Lattices
DOI: 10.1007/S00012-014-0286-Z
description: scientific article; zbMATH DE number 6369491