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

• Datum: 2018
• 1. Verfasser: Simson, Daniel
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Brauer-Thrall conjectures; pure semisimple rings; Kaplansky’s test problem; endo-wild representation type; prinjective modules; 16G60; 16S50; 15A21
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/960
• Назва журналу: 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.