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...
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2008 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2008
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152387 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862751141682479104 |
|---|---|
| author | Xiaojiang Guo Shum, K.P. |
| author_facet | Xiaojiang Guo Shum, K.P. |
| 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 |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-12-07T21:09:51Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152387 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T21:09:51Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Baer semisimple modules and Baer rings Xiaojiang Guo Shum, K.P. |
| title | 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_short | Baer semisimple modules and Baer rings |
| title_sort | baer semisimple modules and baer rings |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152387 |
| work_keys_str_mv | AT xiaojiangguo baersemisimplemodulesandbaerrings AT shumkp baersemisimplemodulesandbaerrings |