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On the nonexistence of free complete distributive lattices

✍ Scribed by Octavio Garcia; Evelyn Nelson

Publisher
Springer Netherlands
Year
1985
Tongue
English
Weight
224 KB
Volume
1
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

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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

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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.