Baer semisimple modules and Baer rings

• Date: 2018
• Main Authors: Guo, Xiaojiang, Shum, K. P.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Baer module; Baer semisimple module; perpetual submodule; Baer ring; 16W60
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/807
• Journal Title: 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...