On the classification of Schreier extensions of monoids with non-abelian kernel

We show that any regular (right) Schreier extension of a monoid M by a monoid A induces an abstract kernel \Phi: M \rightarrow\frac{End(A)}{Inn(A)}. If an abstract kernel factors through \frac{SEnd(A)}{Inn(A)}, where SEnd(A) is the monoid of surjective endomorphisms of A, then we associate to it an...

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Bibliographic Details
Main Author: Martins-Ferreira, Nelson (author)
Other Authors: Montoli, Andrea (author), Patchkoria, Alex (author), Sobral, Manuela (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10316/89460
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/89460