Paper Info
Title
Sum-Free Subsets of Right Cancellative Semigroups
Abstract
For a natural number k≥ 2 letρ=ρ(k) be the smallest natural number which does not dividek− 1. We show that for any subset A of a right cancellative semigroup S which contains no solutions of the equation x1+⋯ +xk=y there is an element s inS such that the setsA, A+s, . . . ,A + (ρ− 1)sare pairwise disjoint. In particular, if S is finite, such a set A has at most | S |/ρ elements. This estimate is sharp.
Year
DOI
Venue
2001
10.1006/eujc.2001.0520
European Journal of Combinatorics
Field
DocType
Volume
Discrete mathematics,Combinatorics,Natural number,Disjoint sets,Cancellative semigroup,Mathematics
Journal
22
Issue
ISSN
Citations 
7
0195-6698
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Tomasz Luczak1596130.60
Tomasz Schoen23612.04