Abstract
Corollary 3.9 notes that the congruence lattice of a finite modular lattice is boolean; however, a finite distributive lattice has a representation as the congruence lattice of an infinite modular lattice by Schmidt [106] (see also Schmidt [112].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
(2006). Modular Lattices. In: The Congruences of a Finite Lattice. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4462-8_10
Download citation
DOI: https://doi.org/10.1007/0-8176-4462-8_10
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-3224-3
Online ISBN: 978-0-8176-4462-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)