Name
Abstract | ||
|---|---|---|
For a finite ordered set G let D (G) denote the family of all distributive lattices L such that G both generates L and is the set of doubly irreducible elements of L . We provide a characterization for membership in D (G) , and by means of this characterization define a natural order relation on D (G) . We show that this order is a boolean lattice and we describe the maximal and minimal elements in this lattice. The maximal element is familiar: the free distributive lattice freely generated by the ordered set G . |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1016/S0012-365X(97)81832-8 | Discrete Mathematics |
Keywords | Field | DocType |
finite distributive lattice,irreducible element,maximal element,distributive lattice | Discrete mathematics,Congruence lattice problem,Combinatorics,Distributive lattice,Complemented lattice,Map of lattices,Total order,Birkhoff's representation theorem,Boolean algebra (structure),Maximal element,Mathematics | Journal |
Volume | Issue | ISSN |
178 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
3 | 0.97 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Joel Berman | 1 | 5 | 2.28 |
| Gabriela Bordalo | 2 | 3 | 0.97 |