A note on a problem due to Zelmanowitz

• Datum: 2018
• Hauptverfasser: Rodrigues, Virgınia Silva, Sant’Ana, Alveri Alves
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Compressible; critically compressible; uniform; polyform; left duo ring; 16D10; 16D80; 16D99
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/790
• Назва журналу: Algebra and Discrete Mathematics

In this paper we consider a problem due to Zelmanowitz. Specifically, we study under what conditions a uniform compressible module whose nonzero endomorphisms are monomorphisms is critically compressible. We give a positive answer to this problem for the class of nonsingular modules, quasi-projectiv...