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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2008 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152387 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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 |
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Xiaojiang Guo Shum, K.P. 2019-06-10T18:39:20Z 2019-06-10T18:39:20Z 2008 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. https://nasplib.isofts.kiev.ua/handle/123456789/152387 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. The research of the first author is jointly supported by the Natural Science Foun-dation of Jiangxi Province; the Science Foundation of the Education Department ofJiangxi Province and the Foundation of Jiangxi Normal University, China. The re-search of the second author is partially supported by a UGC (HK)grant (#2160297/05-06). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Baer semisimple modules and Baer rings Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Baer semisimple modules and Baer rings |
| spellingShingle |
Baer semisimple modules and Baer rings Xiaojiang Guo Shum, K.P. |
| 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 |
| author |
Xiaojiang Guo Shum, K.P. |
| author_facet |
Xiaojiang Guo Shum, K.P. |
| publishDate |
2008 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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 |
| work_keys_str_mv |
AT xiaojiangguo baersemisimplemodulesandbaerrings AT shumkp baersemisimplemodulesandbaerrings |
| first_indexed |
2025-12-07T21:09:51Z |
| last_indexed |
2025-12-07T21:09:51Z |
| _version_ |
1850885318802145281 |