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. [10.1007/s00233-018-9962-1]
The Nine Lemma and the push forward construction for special Schreier extensions of monoids with operations
A. Montoli
Penultimo
;
2018
Abstract
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.
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