Baer sums of special Schreier extensions of monoids

Martins-Ferreira, Nelson;Montoli, Andrea;Sobral, Manuela
(2016) Semigroup Forum — (2016)

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Authors
  • Martins-Ferreira, NelsonIPLeiria
    Author
  • Montoli, AndreaUCLouvain
    Author
  • Sobral, ManuelaUniversidade de Coimbra
    Author
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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Citations

Martins-Ferreira, N., Montoli, A., & Sobral, M. (2016). Baer sums of special Schreier extensions of monoids. Semigroup Forum. Accepted/in-press. https://doi.org/10.1007/s00233-016-9780-2 (Original work published 2016)