Let Q(k, l ) be a poset whose Hasse diagram is a regular spider with k+1 legs having the same length l. We show that for any n 1 the n th cartesian power of the spider poset Q(k, l ) is a Macaulay poset for any k 0 and l 1. In combination with our recent results (S. L. Bezrukov, 1998, J. Combin. The
β¦ LIBER β¦
The cubical poset is additive
β Scribed by G.F. Clements
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 606 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Additivity is a useful property of the multiset (or divisors-of-an-integer) poset. It is shown here that another class of poset, which includes the cubical poset, also has this property,
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