Birkhoff's representation theorem
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite distributive lattices
|
| gptkbp:field |
lattice theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Birkhoff's representation theorem
|
| gptkbp:namedAfter |
gptkb:Garrett_Birkhoff
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:order_theory
poset lattice isomorphism |
| gptkbp:state |
Every finite distributive lattice is isomorphic to the lattice of lower sets of some finite partially ordered set
|
| gptkbp:yearProposed |
1937
|
| gptkbp:bfsParent |
gptkb:Garrett_Birkhoff
|
| gptkbp:bfsLayer |
6
|