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Baer sums of special Schreier extensions of monoids

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Martins-Ferreira, Nelson [IPLeiria] Montoli, Andrea [UCL] Sobral, Manuela [Universidade de Coimbra]

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.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès interdit
Publication date 2016
Language Anglais
Journal information "Semigroup Forum" - (2016)
Peer reviewed yes
Publisher Springer New York LLC ((United States) New York)
issn 0037-1912
e-issn 1432-2137
Publication status Accepté/Sous presse
Affiliation UCL - SST/IRMP - Institut de recherche en mathématique et physique
Links
  1. Bourn, D., Martins-Ferreira, N., Montoli, A., Sobral, M.: Schreier split epimorphisms in monoids and in semirings, Textos de Matemática (Série B), Departamento de Matemática da Universidade de Coimbra, vol. 45 (2013)
  2. Bourn Dominique, Martins-Ferreira Nelson, Montoli Andrea, Sobral Manuela, Schreier split epimorphisms between monoids, 10.1007/s00233-014-9571-6
  3. Bourn, D., Martins-Ferreira, N., Montoli, A., Sobral, M.: Monoids and pointed S-protomodular categories, Homology, Homotopy and Applications, in press, preprint DMUC 14–04, (2014)
  4. Mac Lane Saunders, Homology, ISBN:9783540586623, 10.1007/978-3-642-62029-4
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  6. Martins-Ferreira Nelson, Montoli Andrea, On the “Smith is Huq” Condition in S-Protomodular Categories, 10.1007/s10485-015-9411-1
  7. Martins-Ferreira Nelson, Montoli Andrea, Sobral Manuela, Semidirect products and crossed modules in monoids with operations, 10.1016/j.jpaa.2012.06.022
  8. Orzech G., Obstruction theory in algebraic categories, I, 10.1016/0022-4049(72)90008-4
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  10. Porter T., Extensions, crossed modules and internal categories in categories of groups with operations, 10.1017/s0013091500026766
  11. Rédei, L.: Die Verallgemeinerung der Schreierschen Erweiterungstheorie. Acta Sci. Math. Szeged 14, 252–273 (1952)
Bibliographic reference Martins-Ferreira, Nelson ; Montoli, Andrea ; Sobral, Manuela. Baer sums of special Schreier extensions of monoids. In: Semigroup Forum, (2016)
Permanent URL http://hdl.handle.net/2078.1/175264