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On morphisms of commutative monoids

Semigroup Forum volume 84, pages 333–341 (2012)Cite this article

Abstract

The aim of this work is to study monoid morphisms between commutative monoids. Algorithms to check if a monoid morphism between two finitely generated monoids is injective and/or surjective are given. The structure of the set of monoid morphisms between a monoid and a cancellative monoid is also studied and an algorithm to obtain a system of generators of this set is provided.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Cádiz, 11510, Puerto Real, Cádiz, Spain

    J. I. García García & M. A. Moreno Frías

Authors
  1. J. I. García García
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  2. M. A. Moreno Frías
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Corresponding author

Correspondence to J. I. García García.

Additional information

Communicated by Jorge Almeida.

J.I. García García was partially supported by MTM2010-15595.

M.A. Moreno Frías was partially supported by MTM2008-06201-C02-02 and FQM-298.

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García García, J.I., Moreno Frías, M.A. On morphisms of commutative monoids. Semigroup Forum 84, 333–341 (2012). https://doi.org/10.1007/s00233-011-9349-z

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  • DOI: https://doi.org/10.1007/s00233-011-9349-z

Keywords

  • Monoid
  • Monoid morphism
  • Congruence
  • Presentation
  • Ordering