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A finitely presented monoid with a non-finitely generated group of units

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Abstract.

We exhibit an example of a monoid defined by finitely many generators and defining relations, the group of units of which is not finitely generated.

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Authors and Affiliations

  1. Department of Computer Science, Durham University, South Rd., Durham, DH1 3LE, United Kingdom

    C. A. Carvalho

  2. School of Mathematics and Statistics, University of St Andrews, St Andrews, KY16 9SS, United Kingdom

    N. Ruskuc

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  1. C. A. Carvalho
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  2. N. Ruskuc
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Correspondence to C. A. Carvalho.

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Received: 30 August 2006 Revised: 23 October 2006

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Carvalho, C.A., Ruskuc, N. A finitely presented monoid with a non-finitely generated group of units. Arch. Math. 89, 109–113 (2007). https://doi.org/10.1007/s00013-007-2138-y

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  • DOI: https://doi.org/10.1007/s00013-007-2138-y

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