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Baer semisimple modules and Baer rings
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...
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Інститут прикладної математики і механіки НАН України
2008
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152387 |
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irk-123456789-1523872019-06-11T01:25:36Z Baer semisimple modules and Baer rings Xiaojiang Guo Shum, K.P. 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 semisimple. 2008 Article 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 1726-3255 2000 Mathematics Subject Classification:16W60. http://dspace.nbuv.gov.ua/handle/123456789/152387 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
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 semisimple. |
| format |
Article |
| author |
Xiaojiang Guo Shum, K.P. |
| spellingShingle |
Xiaojiang Guo Shum, K.P. Baer semisimple modules and Baer rings Algebra and Discrete Mathematics |
| author_facet |
Xiaojiang Guo Shum, K.P. |
| author_sort |
Xiaojiang Guo |
| title |
Baer semisimple modules and Baer rings |
| title_short |
Baer semisimple modules and Baer rings |
| title_full |
Baer semisimple modules and Baer rings |
| title_fullStr |
Baer semisimple modules and Baer rings |
| title_full_unstemmed |
Baer semisimple modules and Baer rings |
| title_sort |
baer semisimple modules and baer rings |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152387 |
| citation_txt |
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 |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT xiaojiangguo baersemisimplemodulesandbaerrings AT shumkp baersemisimplemodulesandbaerrings |
| first_indexed |
2023-05-20T17:38:15Z |
| last_indexed |
2023-05-20T17:38:15Z |
| _version_ |
1796153744494166016 |