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
Extension of Heyman's and Foulkes' theorems to structures with linear segmentation
β Scribed by G.I.N. Rozvany; F. Spengemann; J. Menkenhagen; C.M. Wang
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 852 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0020-7403
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