Baer semisimple modules and Baer rings

• Datum: 2018
• Hauptverfasser: Guo, Xiaojiang, Shum, K. P.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Baer module; Baer semisimple module; perpetual submodule; Baer ring; 16W60
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/807
• Назва журналу: Algebra and Discrete Mathematics

We consider  Baer rings and Baer semisimple \(R\)-modules which are generalizations of semisimple modules. Several characterization theorems of Baer semisimple modules are obtained. In particular, we prove that a ring \(R\) is a Baer ring if and only if \(R\) itself, regarded as a regular \(R\)-modu...