Baer sums of special Schreier extensions of monoids

Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela

http://hdl.handle.net/10400.8/13012

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Authors

Martins-Ferreira, Nelson

Montoli, Andrea

Sobral, Manuela

Abstract(s)

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.

Keywords

Monoid Special Schreier extension Baer sum Factor set

URI

http://hdl.handle.net/10400.8/13012

Citation

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