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.
The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations / N. Martins-Ferreira, A. Montoli, M. Sobral. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - 97:2(2018 Oct 01), pp. 325-352.
Titolo: | The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations |
Autori: | |
Parole Chiave: | Baer sum; Monoids with operations; Nine Lemma; Push forward; Special Schreier extension; Algebra and Number Theory |
Settore Scientifico Disciplinare: | Settore MAT/02 - Algebra |
Data di pubblicazione: | 1-ott-2018 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00233-018-9962-1 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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