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On the classification of Schreier extensions of monoids with non-abelian kernel
 
 
Description:  We will show that any regular right Schreier extension of a monoid M by a monid A induces an abstract kernel, i.e. a monoid homomorphism from M to the factor monoid End(A)/Inn(A). If an abstract kernel factors through Epi(A)/Inn(A), then we associate to it an obstruction, which is an element of the third cohomology group of M with coefficients in the M-module U(Z(A)). An abstract kernel is induced by an extension if and only if its obstruction is zero. We will also show that the set of isomorphic classes of extensions inducing a given abstract kernel is in bijection with the second cohomology group of M with coefficients in U(Z(A)). Joint work with Nelson Martins Ferreira, Alex Patchkoria and Manuela Sobral.
Date:  2019-02-12
Start Time:   14:30
Speaker:  Andrea Montoli (Univ. degli Studi di Milano, Italy)
Institution:  Università degli Studi di Milano, Italy
Place:  Room 5.5
Research Groups: -Algebra, Logic and Topology
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