The FKG Inequality for Partially Ordered Algebras
โ Scribed by Siddhartha Sahi
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 257 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0894-9840
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๐ SIMILAR VOLUMES
An important well-known result of Rota describes the relationship between the Mo bius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motiva
Let P be a finite poset and let x, y e P. Let C be a finite chain. Define NS(i, j) to be the number of strict order-preserving maps to: P--~C satisfying to(x)=i and to(y)=j. Various inequalities are proved, commencing with Theorem 2: If r, s, t, u, v, w are non-negative integers then NS(r, u + v + w