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Minimal presentations for monoids with the ascending chain condition on principal ideals

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Abstract

We show that the natural way to extend several key results concerning minimal presentations for finitely generated commutative cancellative reduced monoids, is to replace the finitely generated condition by the ascending chain condition on principal ideals.

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Authors and Affiliations

  1. Departamento de Álgebra, Universidad de Granada, 18071, Granada, Spain

    M. Bullejos & P. A. García-Sánchez

Authors
  1. M. Bullejos
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  2. P. A. García-Sánchez
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Corresponding author

Correspondence to P. A. García-Sánchez.

Additional information

Communicated by Jorge Almeida.

The authors are supported by the projects MTM2010-15595 and FQM-343, FQM-5849, and FEDER funds. We would like to thank D. Llena, I. Ojeda and J.C. Rosales for their helpful discussions.

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Bullejos, M., García-Sánchez, P.A. Minimal presentations for monoids with the ascending chain condition on principal ideals. Semigroup Forum 85, 185–190 (2012). https://doi.org/10.1007/s00233-011-9336-4

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  • DOI: https://doi.org/10.1007/s00233-011-9336-4

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