Abstract
In this chapter, for a finite lattice K, we introduce an extension Cube K with the following properties: (i) The lattice K is a congruence-reflecting sublattice of Cube K. (ii) Con(Cube K) is boolean. (iii) The minimal extension of the meet-irreducible congruences are the dual atoms of Con(Cube K); their ordering is “flattened.”
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Rights and permissions
Copyright information
© 2006 Birkhäuser Boston
About this chapter
Cite this chapter
(2006). Cubic Extensions. In: The Congruences of a Finite Lattice. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4462-8_6
Download citation
DOI: https://doi.org/10.1007/0-8176-4462-8_6
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)