On representation dimension of tame cluster tilted algebras

The aim of this work is to study the representation dimension of cluster tilted algebras. We prove that the weak representation dimension of tame cluster tilted algebras is equal to three. We construct a generator module that reaches the weak representation dimension, unfortunately this module is n...

Full description

Bibliographic Details
Main Authors: Alfredo Gonzalez Chaio, Sonia Trepode
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2020-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Online Access:https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/37626