The order of principal congruences of a bounded lattice
G. Gr\"atzer
TL;DR
This paper characterizes the structure of principal congruences in bounded lattices as bounded ordered sets and discusses open problems in this emerging research area.
Contribution
It provides a characterization of the order of principal congruences in bounded lattices and introduces open problems for future research.
Findings
Principal congruences form a bounded ordered set.
Characterization of principal congruences in bounded lattices.
Open problems proposed for further exploration.
Abstract
We characterize the order of principal congruences of a bounded lattice as a bounded ordered set. We also state a number of open problems in this new field.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rough Sets and Fuzzy Logic · Multi-Criteria Decision Making