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.
Baer sum; Monoids with operations; Nine Lemma; Push forward; Special Schreier extension; Algebra and Number Theory
Settore MAT/02 - Algebra
1-ott-2018
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/607648
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