Baer semisimple modules and Baer rings

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• ISSN: 1726-3255
• Main Authors: Xiaojiang Guo, Shum, K.P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/152387
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Baer semisimple modules and Baer rings / Xiaojiang Guo, K.P. Shum // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 32–49. — Бібліогр.: 15 назв. — англ

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-module, is Baer semi...