On Generalized Simple Singular AP-Injective Rings
A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings. Some interesting results on these rings are obtained. In particul...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Mosul University
2012-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163681_d2e6b0deb073de26f1d160f942f09fee.pdf |
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| _version_ | 1850196609410793472 |
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| author | Raida Mahmood Husam Mohammad |
| author_facet | Raida Mahmood Husam Mohammad |
| author_sort | Raida Mahmood |
| collection | DOAJ |
| description | A ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings. Some interesting results on these rings are obtained. In particular, conditions under which generalized simple singular AP-injective rings are weakly regular rings, and Von Neumann regular rings. |
| format | Article |
| id | doaj-art-88a151a3b23241eeb1a519ee81b1f6ea |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2012-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-88a151a3b23241eeb1a519ee81b1f6ea2025-08-20T02:13:24ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902012-07-019117518010.33899/csmj.2012.163681163681On Generalized Simple Singular AP-Injective RingsRaida Mahmood0Husam Mohammad1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqA ring R is said to be generalized right simple singular AP-injective, if for any maximal essential right ideal M of R and for any bÎM, bR/bM is AP-injective. We shall study the characterization and properties of this class of rings. Some interesting results on these rings are obtained. In particular, conditions under which generalized simple singular AP-injective rings are weakly regular rings, and Von Neumann regular rings.https://csmj.mosuljournals.com/article_163681_d2e6b0deb073de26f1d160f942f09fee.pdfap-injective ringsweakly continuous ringssocle of rvon neumann regular rings |
| spellingShingle | Raida Mahmood Husam Mohammad On Generalized Simple Singular AP-Injective Rings Al-Rafidain Journal of Computer Sciences and Mathematics ap-injective rings weakly continuous rings socle of r von neumann regular rings |
| title | On Generalized Simple Singular AP-Injective Rings |
| title_full | On Generalized Simple Singular AP-Injective Rings |
| title_fullStr | On Generalized Simple Singular AP-Injective Rings |
| title_full_unstemmed | On Generalized Simple Singular AP-Injective Rings |
| title_short | On Generalized Simple Singular AP-Injective Rings |
| title_sort | on generalized simple singular ap injective rings |
| topic | ap-injective rings weakly continuous rings socle of r von neumann regular rings |
| url | https://csmj.mosuljournals.com/article_163681_d2e6b0deb073de26f1d160f942f09fee.pdf |
| work_keys_str_mv | AT raidamahmood ongeneralizedsimplesingularapinjectiverings AT husammohammad ongeneralizedsimplesingularapinjectiverings |