Correct classes of modules

• Дата: 2018
• Автор: Wisbauer, Robert
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: Cantor-Bernstein Theorem; correct classes; homological classification of rings; 16D70; 16P40; 16D60
• Онлайн доступ: 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...