Correct classes of modules

• Datum: 2018
• 1. Verfasser: Wisbauer, Robert
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Cantor-Bernstein Theorem; correct classes; homological classification of rings; 16D70; 16P40; 16D60
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1014
• Назва журналу: Algebra and Discrete Mathematics

For a  ring \(R\), call a class \(\cal C\) of \(R\)-modules  (pure-) mono-correct if for any \(M,N \in \cal C\) the existence of (pure) monomorphisms \(M\to N\) and \(N\to M\) implies \(M\simeq N\). Extending results and ideas of Rososhek from rings to modules, it is shown that, for an \(R\)-module...