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.
Baer sums of special Schreier extensions of monoids / N. Martins Ferreira, A. Montoli, M. Sobral. - In: SEMIGROUP FORUM. - ISSN 0037-1912. - 93:2(2016 Oct), pp. 403-415. [10.1007/s00233-016-9780-2]
Baer sums of special Schreier extensions of monoids
A. MontoliSecondo
;
2016
Abstract
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.
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