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
Strong amalgamation of distributive lattices
✍ Scribed by E Fried; G Grätzer
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 465 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
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 ⊆ [ab], we give a description of the decomposition of the reduced homology of L
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.