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On geometries that are connected with general geometric lattices

✍ Scribed by S. G. Kemkhadze; V. Sesadze


Publisher
Springer US
Year
2006
Tongue
English
Weight
99 KB
Volume
137
Category
Article
ISSN
1573-8795

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Posets That Locally Resemble Distributiv
✍ Jonathan David Farley; Stefan E. Schmidt πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 335 KB

Let P be a graded poset with 0 and 1 and rank at least 3. Assume that every rank 3 interval is a distributive lattice and that, for every interval of rank at least 4, the interval minus its endpoints is connected. It is shown that P is a distributive lattice, thus resolving an issue raised by Stanle