Congruence lattices of complemented modular lattices
type: Item
instance of: scholarly article
title: Congruence lattices of complemented modular lattices
zbMATH Open document ID: 0542.06003
DOI: 10.1007/BF01203372
published in: Algebra Universalis
publication date: 1984-01-01T00:00:00Z
review text: The main result asserts: for every finite distributive lattice D there exists a complemented modular lattice K such that the congruence lattice of K is isomorphic to D and K is a sublattice of the lattice of all subspaces of a countably infinite dimensional vector space over the two element field. There are some remarks on representations of infinite distributive lattices.
Mathematics Subject Classification ID: 06B10
Mathematics Subject Classification ID: 06D05
Mathematics Subject Classification ID: 06C20
zbMATH DE Number: 3861223
zbMATH Keywords: finite distributive lattice
zbMATH Keywords: complemented modular lattice
zbMATH Keywords: congruence lattice
zbMATH Keywords: representations of infinite distributive lattices
author: E. T. Schmidt
MaRDI profile type: Publication
cites work: Q4152579
cites work: Q4065592
cites work: Every finite distributive lattice is the congruence lattice of some modular lattice
cites work: Q3912631
full work available at URL: https://doi.org/10.1007/bf01203372
OpenAlex ID: W2101263520
description: scientific article; zbMATH DE number 3861223