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Noetherian lattices in which every element is a product of primary elements

✍ Scribed by H. M. Nakkar; E. A. Al-Khouja

Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
488 KB
Volume
12
Category
Article
ISSN
0167-8094

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πŸ“œ SIMILAR VOLUMES

Posets in which every interval is a prod
Posets in which every interval is a product of chains, and natural local actions of the symmetric group
✍ David J. Grabiner πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 545 KB

Consider a graded poset P with maximal and minimal elements. If every interval of rank three in P is a product of chains, and for every interval [.L ~1 of rank at least four, the open interval (x, y) is connected, we show that the entire poset is a product of chains. This proves a conjecture of Stan