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The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
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Orientador(es)
Resumo(s)
We show that the Nine Lemma holds for special Schreier extensions of monoids
with operations. This fact is used to obtain a push forward construction for special
Schreier extensions with abelian kernel. This construction permits to give a functorial
description of the Baer sum of such extensions.
Descrição
Acknowledgements: We wish to express our gratitude to Alex Patchkoria for pointing out to us the existence
of some old literature, of not easy access, related to the subject of this paper. This work was partially
supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, by ESTG
and CDRSP from the Polytechnical Institute of Leiria – UID/Multi/04044/2013, funded by the Portuguese
Government through FCT/MCTES and co-funded by the European Regional Development Fund through
the Partnership Agreement PT2020. This work was partially supported by the Programma per Giovani
Ricercatori “Rita Levi-Montalcini”, Funded by the Italian government through MIUR.
Palavras-chave
Monoids with operations Special Schreier extension Nine Lemma Push forward Baer sum
Contexto Educativo
Citação
Martins-Ferreira, N., Montoli, A. & Sobral, M. The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations. Semigroup Forum 97, 325–352 (2018). https://doi.org/10.1007/s00233-018-9962-1
Editora
Springer