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Primely generated refinement monoids

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Abstract

We extend both Dobbertin’s characterization of primely generated regular refinement monoids and Pierce’s characterization of primitive monoids to general primely generated refinement monoids.

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Author information

Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra (Barcelona), Spain

    Pere Ara

  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad de Cádiz, Campus de Puerto Real, Puerto Real (Cádiz), 11510, Spain

    Enrique Pardo

Authors
  1. Pere Ara
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  2. Enrique Pardo
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Corresponding author

Correspondence to Pere Ara.

Additional information

Dedicated to the memory of María Dolores Gordillo Romero

The first-named author was partially supported by DGI MINECO MTM2011-28992-C02-01, by FEDER UNAB10-4E-378 “Una manera de hacer Europa”, and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya.

The second-named author was partially supported by the DGI and European Regional Development Fund, jointly, through Project MTM2011-28992-C02-02, and by PAI III grants FQM-298 and P11-FQM-7156 of the Junta de Andalucía.

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Ara, P., Pardo, E. Primely generated refinement monoids. Isr. J. Math. 214, 379–419 (2016). https://doi.org/10.1007/s11856-016-1334-5

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  • DOI: https://doi.org/10.1007/s11856-016-1334-5

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