The Intersection Theorem for Direct Products
β Scribed by R. Ahlswede; H. Aydinian; L.H. Khachatrian
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 196 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let N (n, k) be the set of all n-tuples over the alphabet {0, 1, . . . , k} whose component sum equals . A subset F β N (n, k) is called a t-intersecting family if every two tuples in F have nonzero entries in at least t common coordinates. We determine the maximum size of a t-intersecting family in
The main focus of his paper was to understand when the tensor product M m N of finitely generated modules M and N over a regular local ring R R is torsion-free. This condition forces the vanishing of a certain Tor module associated with M and N, which in turn, by Auslander's famous R Ε½ . rigidity th
Erdos and Rado defined a A-system, as a family in which every two members have the same intersection. Here we obtain a new upper bound on the maximum cardinality q ( n , q ) of an n-uniform family not containing any A-system of cardinality q. Namely, we prove that, for any a > 1 and q , there exists