On Weakly Regular Rings and SSF-rings
In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z (R) the center of R is a von Neunann re...
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Mosul University
2006-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
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| Online Access: | https://csmj.mosuljournals.com/article_164035_e1b3e9ad1abefeeed8c0e6c3a9d44db2.pdf |
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doaj-7dc93fa39afb4f1098c9d47407b6e5242020-11-25T04:09:03ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics 1815-48162311-79902006-07-0131555910.33899/csmj.2006.164035164035On Weakly Regular Rings and SSF-ringsRaida Mahmood0College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqIn this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z (R) the center of R is a von Neunann regular ring. We also show that a ring R either satisfies (*) or a strongly right bounded ring in which every simple singular right R-module is flat, then R is reduced weakly regular rings.<br /> <strong> </strong><br />https://csmj.mosuljournals.com/article_164035_e1b3e9ad1abefeeed8c0e6c3a9d44db2.pdfflatreducedweakly regular rings |
| collection |
DOAJ |
| language |
Arabic |
| format |
Article |
| sources |
DOAJ |
| author |
Raida Mahmood |
| spellingShingle |
Raida Mahmood On Weakly Regular Rings and SSF-rings Al-Rafidain Journal of Computer Sciences and Mathematics flat reduced weakly regular rings |
| author_facet |
Raida Mahmood |
| author_sort |
Raida Mahmood |
| title |
On Weakly Regular Rings and SSF-rings |
| title_short |
On Weakly Regular Rings and SSF-rings |
| title_full |
On Weakly Regular Rings and SSF-rings |
| title_fullStr |
On Weakly Regular Rings and SSF-rings |
| title_full_unstemmed |
On Weakly Regular Rings and SSF-rings |
| title_sort |
on weakly regular rings and ssf-rings |
| publisher |
Mosul University |
| series |
Al-Rafidain Journal of Computer Sciences and Mathematics |
| issn |
1815-4816 2311-7990 |
| publishDate |
2006-07-01 |
| description |
In this work we consider weakly regular rings whose simple singular right R-Modules are flat. We also consider the condition (*): R satisfies L(a)Ír(a) for any aÎR. We prove that if R satisfies(*) and whose simple singular right R-module are flat, then Z (R) the center of R is a von Neunann regular ring. We also show that a ring R either satisfies (*) or a strongly right bounded ring in which every simple singular right R-module is flat, then R is reduced weakly regular rings.<br /> <strong> </strong><br /> |
| topic |
flat reduced weakly regular rings |
| url |
https://csmj.mosuljournals.com/article_164035_e1b3e9ad1abefeeed8c0e6c3a9d44db2.pdf |
| work_keys_str_mv |
AT raidamahmood onweaklyregularringsandssfrings |
| _version_ |
1724423421746479104 |