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Baer sums of special Schreier extensions of monoids

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Abstract

We show that the special Schreier extensions of monoids, with abelian kernel, admit a Baer sum construction, which generalizes the classical one for group extensions with abelian kernel. In order to do that, we characterize the special Schreier extensions by means of factor sets.

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Acknowledgments

This work was partially supported by the Centre for Mathematics of the University of Coimbra—UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020, and also by ESTG and CDRSP—UID/Multi/04044/2013, from the Polytechnical Institute of Leiria. The second author is a Postdoctoral Researcher of the Fonds de la Recherche Scientifique—FNRS.

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Authors and Affiliations

  1. ESTG, CDRSP, Instituto Politécnico de Leiria, Leiria, Portugal

    Nelson Martins-Ferreira

  2. CMUC, Universidade de Coimbra, 3001-501, Coimbra, Portugal

    Andrea Montoli

  3. Institut de Recherche en Mathématique et Physique, Université catholique de Louvain, Chemin du Cyclotron 2 Bte L7.01.02, 1348, Louvain-la-Neuve, Belgium

    Andrea Montoli

  4. CMUC and Departamento de Matemática, Universidade de Coimbra, 3001-501, Coimbra, Portugal

    Manuela Sobral

Authors
  1. Nelson Martins-Ferreira
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  2. Andrea Montoli
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  3. Manuela Sobral
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Corresponding author

Correspondence to Andrea Montoli.

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Communicated by László Márki.

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Martins-Ferreira, N., Montoli, A. & Sobral, M. Baer sums of special Schreier extensions of monoids. Semigroup Forum 93, 403–415 (2016). https://doi.org/10.1007/s00233-016-9780-2

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  • DOI: https://doi.org/10.1007/s00233-016-9780-2

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