Patch extensions and trajectory colorings of slim rectangular lattices.
type: Item
instance of: scholarly article
title: Patch extensions and trajectory colorings of slim rectangular lattices.
zbMATH Open document ID: 1312.06005
author: Gábor Czédli
published in: Algebra Universalis
publication date: 2014-10-31T00:00:00Z
full work available at URL: 111-czedli patch-ext-traj-color mta-rep.pdf
review text: In this paper, the author gives a structural description for the congruence lattice of a slim rectangular lattice via its trajectory coloring.
Mathematics Subject Classification ID: 06C10
Mathematics Subject Classification ID: 06B10
zbMATH DE Number: 6363156
zbMATH Keywords: rectangular lattices
zbMATH Keywords: patch lattices
zbMATH Keywords: slim semimodular lattices
zbMATH Keywords: congruence lattices
zbMATH Keywords: lattice colorings
zbMATH Keywords: patch extensions
reviewed by: Fang Jie
MaRDI profile type: Publication
OpenAlex ID: W1994458049
cites work: The matrix of a slim semimodular lattice
cites work: Representing homomorphisms of distributive lattices as restrictions of congruences of rectangular lattices
cites work: Coordinatization of finite join-distributive lattices.
cites work: The asymptotic number of planar, slim, semimodular lattice diagrams
cites work: Finite convex geometries of circles
cites work: Quasiplanar diagrams and slim semimodular lattices
cites work: On the number of slim, semimodular lattices
cites work: Notes on planar semimodular lattices. VII: Resections of planar semimodular lattices
cites work: Planar Semimodular Lattices: Structure and Diagrams
cites work: How many ways can two composition series intersect?
cites work: The Jordan-Hölder theorem with uniqueness for groups and semimodular lattices
cites work: Slim semimodular lattices. I. A visual approach
cites work: Composition series in groups and the structure of slim semimodular lattices
cites work: Slim semimodular lattices. II: A description by patchwork systems
cites work: Q4399900
cites work: Q5715576
cites work: Lattice Theory: Foundation
cites work: Notes on planar semimodular lattices. VI: On the structure theorem of planar semimodular lattices
cites work: A technical lemma for congruences of finite lattices
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: Q2995564
cites work: Congruence Lattices of Finite Semimodular Lattices
cites work: A short proof of the congruence representation theorem of rectangular lattices.
cites work: Congruence relations and weak projectivity in lattices
cites work: Planar Lattices
cites work: Q3106329
DOI: 10.1007/S00012-014-0294-Z
description: scientific article; zbMATH DE number 6363156