On Rings whose Maximal Essential Ideals are Pure
This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and weakly regular rings.
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2007-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163995_6d822e2ca46cf5ad8ba3a72a5f167060.pdf |
| _version_ | 1811316338668339200 |
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| author | Raida Mahmood Awreng Mahmood |
| author_facet | Raida Mahmood Awreng Mahmood |
| author_sort | Raida Mahmood |
| collection | DOAJ |
| description | This paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and weakly regular rings. |
| first_indexed | 2024-04-13T11:48:22Z |
| format | Article |
| id | doaj.art-68170a69119f4ac48853f5e41864b0e2 |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-04-13T11:48:22Z |
| publishDate | 2007-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-68170a69119f4ac48853f5e41864b0e22022-12-22T02:48:08ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902007-07-0141576210.33899/csmj.2007.163995163995On Rings whose Maximal Essential Ideals are PureRaida Mahmood0Awreng Mahmood1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer science and Mathematics, University of MosulThis paper introduces the notion of a right MEP-ring (a ring in which every maximal essential right ideal is left pure) with some of their basic properties; we also give necessary and sufficient conditions for MEP – rings to be strongly regular rings and weakly regular rings.https://csmj.mosuljournals.com/article_163995_6d822e2ca46cf5ad8ba3a72a5f167060.pdfmep-ringspure idealsweakly regular ring |
| spellingShingle | Raida Mahmood Awreng Mahmood On Rings whose Maximal Essential Ideals are Pure Al-Rafidain Journal of Computer Sciences and Mathematics mep-rings pure ideals weakly regular ring |
| title | On Rings whose Maximal Essential Ideals are Pure |
| title_full | On Rings whose Maximal Essential Ideals are Pure |
| title_fullStr | On Rings whose Maximal Essential Ideals are Pure |
| title_full_unstemmed | On Rings whose Maximal Essential Ideals are Pure |
| title_short | On Rings whose Maximal Essential Ideals are Pure |
| title_sort | on rings whose maximal essential ideals are pure |
| topic | mep-rings pure ideals weakly regular ring |
| url | https://csmj.mosuljournals.com/article_163995_6d822e2ca46cf5ad8ba3a72a5f167060.pdf |
| work_keys_str_mv | AT raidamahmood onringswhosemaximalessentialidealsarepure AT awrengmahmood onringswhosemaximalessentialidealsarepure |