Approximate Regular Modules
There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse. In this work, we introduced and studied the approximately regular modules, as well as many properties...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2011-12-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1324 |
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| author | Baghdad Science Journal |
| author_facet | Baghdad Science Journal |
| author_sort | Baghdad Science Journal |
| collection | DOAJ |
| description | There are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse. In this work, we introduced and studied the approximately regular modules, as well as many properties and characterizations are considered, also we study the relation between them by using approximately pointwise-projective modules. |
| format | Article |
| id | doaj-art-76caee9b05684ef4a51678b7ed518d8b |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2011-12-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-76caee9b05684ef4a51678b7ed518d8b2025-08-20T03:56:59ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862011-12-018410.21123/bsj.8.4.1021-1027Approximate Regular ModulesBaghdad Science JournalThere are two (non-equivalent) generalizations of Von Neuman regular rings to modules; one in the sense of Zelmanowize which is elementwise generalization, and the other in the sense of Fieldhowse. In this work, we introduced and studied the approximately regular modules, as well as many properties and characterizations are considered, also we study the relation between them by using approximately pointwise-projective modules.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1324approximately regular modules, approximately Z-regular, approximately F-regular, approximately direct-summand, approximately pointwise-projective modules |
| spellingShingle | Baghdad Science Journal Approximate Regular Modules مجلة بغداد للعلوم approximately regular modules, approximately Z-regular, approximately F-regular, approximately direct-summand, approximately pointwise-projective modules |
| title | Approximate Regular Modules |
| title_full | Approximate Regular Modules |
| title_fullStr | Approximate Regular Modules |
| title_full_unstemmed | Approximate Regular Modules |
| title_short | Approximate Regular Modules |
| title_sort | approximate regular modules |
| topic | approximately regular modules, approximately Z-regular, approximately F-regular, approximately direct-summand, approximately pointwise-projective modules |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1324 |
| work_keys_str_mv | AT baghdadsciencejournal approximateregularmodules |