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Embedding Actions of Cancellative Directed Semigroups

✍ Scribed by M. Stroppel


Publisher
Springer
Year
2001
Tongue
English
Weight
145 KB
Volume
62
Category
Article
ISSN
0037-1912

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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 + (