Sum-Avoiding Subsets
β Scribed by Imre Z. Ruzsa
- Publisher
- Springer US
- Year
- 2005
- Tongue
- English
- Weight
- 163 KB
- Volume
- 9
- Category
- Article
- ISSN
- 1382-4090
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π SIMILAR VOLUMES
~roughout this paper we use the following notatians: The cardinality of the finite set Y is denoted by ISI -.s& B8, . I s den&e finite or infinite sets of positive integers. If & is a finite or infinite set of positive integers, then S(d) denotes the set of the distinct positive integers n that can
For a natural number k β₯ 2 let Ο = Ο(k) be the smallest natural number which does not divide k -1. We show that for any subset A of a right cancellative semigroup S which contains no solutions of the equation x 1 + β’ β’ β’ + x k = y there is an element s in S such that the sets A, A + s, . . . , A + (