How to derive finite semimodular lattices from distributive lattices?
type: Item
instance of: scholarly article
title: How to derive finite semimodular lattices from distributive lattices?
zbMATH Open document ID: 1199.06028
author: E. T. Schmidt
author: Gábor Czédli
published in: Acta Mathematica Hungarica
publication date: 2009-12-28T00:00:00Z
review text: In this paper it is proved that the class of finite semimodular lattices is the same as the class of cover-preserving join-homomorphic images of direct products of finitely many finite chains.
Mathematics Subject Classification ID: 06C10
zbMATH DE Number: 5651854
zbMATH Keywords: distributive lattice
zbMATH Keywords: semimodular lattice
zbMATH Keywords: join-homomorphism
zbMATH Keywords: cover-preserving homomorphism
reviewed by: Dimitru Buşneag
MaRDI profile type: Publication
full work available at URL: s10474-008-7199-2
OpenAlex ID: W2053254900
cites work: On averaging Frankl's conjecture for large union-closed-sets
cites work: A decomposition theorem for partially ordered sets
cites work: Q3875978
cites work: Notes on planar semimodular lattices. I. Construction
DOI: 10.1007/S10474-008-7199-2
description: scientific article; zbMATH DE number 5651854