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Correct classes of modules

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...

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Bibliographic Details
Main Author: Wisbauer, Robert
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1014
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