Which of the cancellative semigroups are groups? (Q1281624)

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scientific article; zbMATH DE number 1268038
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Which of the cancellative semigroups are groups?
scientific article; zbMATH DE number 1268038

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    Which of the cancellative semigroups are groups? (English)
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    1 December 1999
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    It is proved that a cancellative semigroup \((S,\cdot)\) is a group iff there exists a function \(f\colon S\to S\) such that the set \(\{sf(s)\mid s\in S\}\) is finite.
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    cancellative semigroups
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    groups
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