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A counterexample to Sorenson’s conjecture: The finitely generated case

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Abstract

It is shown that there exists a finitely generated, left amenable semigroup whichis right cancellative but not left cancellative. This resolves negatively a questionraised by M. Klawe.

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Authors and Affiliations

  1. Department of Mathematics, Hokkaido University of Education, 040-8567, Hakodate, Japan

    Yuji Takahashi

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  1. Yuji Takahashi
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Correspondence to Yuji Takahashi.

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Communicated by John S. Pym

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Takahashi, Y. A counterexample to Sorenson’s conjecture: The finitely generated case. Semigroup Forum 67, 429–431 (2003). https://doi.org/10.1007/s00233-001-0170-y

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  • DOI: https://doi.org/10.1007/s00233-001-0170-y

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