On large indecomposable modules, endo-wild representation type and right pure semisimple rings

• Date: 2018
• Main Author: Simson, Daniel
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Brauer-Thrall conjectures; pure semisimple rings; Kaplansky’s test problem; endo-wild representation type; prinjective modules; 16G60; 16S50; 15A21
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960
• Journal Title: Algebra and Discrete Mathematics

The existence of large indecomposable right \(R\)-modules over a right artinian ring \(R\) is discussed in connection with the pure semisimplicity problem and the endo-wildness of the category Mod(\(R\)) of right \(R\)-modules. Some conjectures and open problems are presented.