Atomistic congruence lattices of semilattices (Q1825288)
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: Atomistic congruence lattices of semilattices |
scientific article; zbMATH DE number 4120417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Atomistic congruence lattices of semilattices |
scientific article; zbMATH DE number 4120417 |
Statements
Atomistic congruence lattices of semilattices (English)
0 references
1990
0 references
A lattice L is ``atomistic'' if every element of L is the join of the atoms which are below it. For a semilattice Y it is shown that its congruence lattice C(Y) is atomistic if and only if Y is a locally finite tree, that is, each interval of C(Y) is a finite chain.
0 references
semilattice
0 references
congruence lattice
0 references
atomistic
0 references
locally finite tree
0 references
