Article ID Journal Published Year Pages File Type
4655895 Journal of Combinatorial Theory, Series A 2010 14 Pages PDF
Abstract

We characterize ideals of subsets of natural numbers for which some versions of Schur's theorem hold. These are similar to generalizations shown by Bergelson (1986) in [1], and Frankl, Graham and Rödl (1990) in [7]. Additionally, we prove a generalization of an iterated version of Ramsey's theorem.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics