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Álgebras derivadamente mansas com três módulos simples
(Universidade Federal de Minas GeraisUFMG, 2016-11-28)
Given a finite-dimensional algebra it belongs to one of the following classes: derived tame or derived wild algebras. In this thesis our aim is to determine which finite dimensional K-algebras with three simple modules are ...
Álgebras seriais derivadamente mansas
(Universidade Federal de Minas GeraisBrasilPrograma de Pós-Graduação em MatemáticaUFMG, 2018-11-28)
The Tame-Wild Dichotomy for derived categories establish that every finite dimensional algebra over an algebrically closed eld is either derived tame or derived wild ([7], [16]). We proved that a left serial algebra is ...
Álgebras quadráticas de cordas derivadamente mansas
(Universidade Federal de Minas GeraisBrasilPrograma de Pós-Graduação em MatemáticaUFMG, 2020-09-28)
We know that every finite dimensional algebra over an algebrically closed field
must be derived tame or derived wild. In this work, we classify the derived tame
quadratic string algebras.
Sobre a Categoria Derivada do Produto Tensorial de Álgebras
(Universidade Federal de Minas GeraisUFMG, 2017-12-01)
In this thesis we describe the derived tame tensor products (...) of basic, connected, nonsimple, finite-dimensional algebras A and B over an algebraically closed eld k.