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Lattice diagrams with few slopes

โœ Scribed by Jurek Czyzowicz


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
513 KB
Volume
56
Category
Article
ISSN
0097-3165

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โœ J.H. Conway; N.J.A. Sloane ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 699 KB
Posets That Locally Resemble Distributiv
โœ Jonathan David Farley; Stefan E. Schmidt ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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