Compact intersection property and description of congruence lattices. (Q2877058)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Compact intersection property and description of congruence lattices. |
scientific article; zbMATH DE number 6333332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact intersection property and description of congruence lattices. |
scientific article; zbMATH DE number 6333332 |
Statements
21 August 2014
0 references
congruence lattices
0 references
compact congruences
0 references
congruence-distributive varieties
0 references
0.95786303
0 references
0.8734358
0 references
0.8716094
0 references
0.86828834
0 references
0 references
0.86462796
0 references
Compact intersection property and description of congruence lattices. (English)
0 references
A variety of algebras \(\mathcal V\) is said to have the Compact Intersection Property (CIP) if the join semilattice of all compact congruences is closed with respect to intersections for each algebra in \(\mathcal V\). In the paper congruence lattices in locally finite congruence-distributive varieties are studied. The authors prove some general theorems yielding two types of characterization of the CIP for certain types of such varieties: via direct limits and via Priestley's duality.
0 references
