Month: May 2022

Krull-Schmidt theorem for Artin Algebras via evaluation functors

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Victor Blasco Jimenez, Dokuz Eylül University.
Date: 17th of May, 2022, Tuesday, Time: 10.30 – 12.00.
Place: Dokuz Eylül University, Tınaztepe Campus, Faculty of Science, Department of Mathematics, room B206 (department seminar and meeting room).
Abstract: In this talk, we will show a process of passing from a given Artin Algebra to another one and find a correspondence between some of their module subcategories via the so called evaluation functors. This will help to prove the Krull-Schmidt theorem using the results in the previous talk.

Right minimal morphisms and projective covers over Artin Algebras

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Victor Blasco Jimenez, Dokuz Eylül University.
Date: 10th of May, 2022, Tuesday, Time: 10.30 – 12.00.
Place: Dokuz Eylül University, Tınaztepe Campus, Faculty of Science, Department of Mathematics, room B206 (department seminar and meeting room).
Abstract: In this talk, we will introduce the basics of the representation theory of Artin Algebras. In particular, the notion of right minimal morphism will help us to prove the existence of a projective cover for any finitely generated module. We will also characterize the indecomposable projective modules over these Algebras.