𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The skeletons of free distributive lattices

✍ Scribed by Rudolf Wille

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
707 KB
Volume
88
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

The skeletons of free distributive lattices are studied by methods of formal concept analysis; in particular, a specific closure system of sublattices is elaborated to clarify the structure of the skeletons.

Up to five generators, the skeletons are completely described.

πŸ“œ SIMILAR VOLUMES

The level polynomials of the free distri
The level polynomials of the free distributive lattices
✍ George Markowsky πŸ“‚ Article πŸ“… 1980 πŸ› Elsevier Science 🌐 English βš– 915 KB

We show that there exist a set of polynomials {Lk 1 k = 0, 1 \* \* a} such that L,(n) is the number of elements of rank k in the free distributive lattice on n generators. L,(n) = L,(n) = 1 for all n and the degree of L, is k -1 for k 5 1. We show that the coefficients of the L, can be calculated us

Complete Congruence Lattices of Complete
Complete Congruence Lattices of Complete Distributive Lattices
✍ G. Gratzer; E.T. Schmidt πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 984 KB

In 1983. Wille raised the question: Is elery complete lattice \(L\) isomorphic to the lattice of complete congruence relations of a suitable complete lattice K? In 1988 . this was answered in the affirmative by the first author. A number of papers have been published on this problem by Freese, Johns

On the Homology of Distributive Lattices
On the Homology of Distributive Lattices
✍ W.F. Doran IV πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 167 KB

This paper gives a method for computing the reduced poset homology of the rank-selected subposet of a distributive lattice. As an example of the method, let L be the lattice S b acts on L by permuting coordinates. For S βŠ† [ab], we give a description of the decomposition of the reduced homology of L