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Cancellative semigroups of power growth

✍ Scribed by R. I. Grigorchuk


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
530 KB
Volume
43
Category
Article
ISSN
0001-4346

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Sum-Free Subsets of Right Cancellative S
✍ Tomasz Łuczak; Tomasz Schoen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 112 KB

For a natural number k β‰₯ 2 let ρ = ρ(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 + (