Semiprime SF-rings whose essential left ideals are two-sided
It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
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| Format: | Article |
| Language: | English |
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Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171294000888 |
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| _version_ | 1832554072346984448 |
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| author | Zhang Jule Du Xhianneng |
| author_facet | Zhang Jule Du Xhianneng |
| author_sort | Zhang Jule |
| collection | DOAJ |
| description | It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question. |
| format | Article |
| id | doaj-art-30341e34a6f34ec89ee4219f97e382c7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-30341e34a6f34ec89ee4219f97e382c72025-02-03T05:52:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117361761810.1155/S0161171294000888Semiprime SF-rings whose essential left ideals are two-sidedZhang Jule0Du Xhianneng1Anhui Normal University, Wuhu 241000, ChinaAnhui Normal University, Wuhu 241000, ChinaIt is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.http://dx.doi.org/10.1155/S0161171294000888(Von Neumann) regular ringSF-ringELT-ring. |
| spellingShingle | Zhang Jule Du Xhianneng Semiprime SF-rings whose essential left ideals are two-sided International Journal of Mathematics and Mathematical Sciences (Von Neumann) regular ring SF-ring ELT-ring. |
| title | Semiprime SF-rings whose essential left ideals are two-sided |
| title_full | Semiprime SF-rings whose essential left ideals are two-sided |
| title_fullStr | Semiprime SF-rings whose essential left ideals are two-sided |
| title_full_unstemmed | Semiprime SF-rings whose essential left ideals are two-sided |
| title_short | Semiprime SF-rings whose essential left ideals are two-sided |
| title_sort | semiprime sf rings whose essential left ideals are two sided |
| topic | (Von Neumann) regular ring SF-ring ELT-ring. |
| url | http://dx.doi.org/10.1155/S0161171294000888 |
| work_keys_str_mv | AT zhangjule semiprimesfringswhoseessentialleftidealsaretwosided AT duxhianneng semiprimesfringswhoseessentialleftidealsaretwosided |