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Distributivity conditions and the order-skeleton of a lattice

✍ Scribed by Jianning Su; Wu Feng; Richard J. Greechie

Publisher
Springer
Year
2011
Tongue
English
Weight
311 KB
Volume
66
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

The skeletons of free distributive latti
The skeletons of free distributive lattices
✍ Rudolf Wille πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 707 KB

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.

Distributivity and decomposability on th
Distributivity and decomposability on the lattices satisfying the chain conditions
✍ Wenchang Chu πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 159 KB

This short note will confirm the converse of Birkhoff's theorem and establish the following: Suppose L is a lattice satisfying the ascending chain condition (resp., the descending chain condition). Then L is distributive if and only if each element of L has a unique finite irredundant decomposition