Aspects of distributivity (Q794678)
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: Aspects of distributivity |
scientific article; zbMATH DE number 3859189
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Aspects of distributivity |
scientific article; zbMATH DE number 3859189 |
Statements
Aspects of distributivity (English)
0 references
1984
0 references
According to an important theorem of Crawley and Dilworth every element in an algebraic strongly atomic distributive lattice has a unique irredundant decomposition into irreducibles. The paper contains extensions of this to non-atomic lattices and applications to congruence distributive algebraic structures, in particular lattices.
0 references
strongly atomic distributive lattice
0 references
irredundant decomposition
0 references
irreducibles
0 references
congruence distributive
0 references