On Generalized PF – Rings
The aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is either non-zero divisor or nilpotent.
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2004-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164110_81e6763ba5f0c7c373e8858ec309e0c8.pdf |
| _version_ | 1811281308988473344 |
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| author | Nazar Shuker Husam Mohammad |
| author_facet | Nazar Shuker Husam Mohammad |
| author_sort | Nazar Shuker |
| collection | DOAJ |
| description | The aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is either non-zero divisor or nilpotent. |
| first_indexed | 2024-04-13T01:30:15Z |
| format | Article |
| id | doaj.art-cd8977a571844604984f89ebb9553f94 |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-04-13T01:30:15Z |
| publishDate | 2004-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-cd8977a571844604984f89ebb9553f942022-12-22T03:08:31ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902004-12-0112394510.33899/csmj.2004.164110164110On Generalized PF – RingsNazar Shuker0Husam Mohammad1College of Computer Science and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqThe aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is either non-zero divisor or nilpotent.https://csmj.mosuljournals.com/article_164110_81e6763ba5f0c7c373e8858ec309e0c8.pdfgeneralized pf-ringuniform ringpure ideal |
| spellingShingle | Nazar Shuker Husam Mohammad On Generalized PF – Rings Al-Rafidain Journal of Computer Sciences and Mathematics generalized pf-ring uniform ring pure ideal |
| title | On Generalized PF – Rings |
| title_full | On Generalized PF – Rings |
| title_fullStr | On Generalized PF – Rings |
| title_full_unstemmed | On Generalized PF – Rings |
| title_short | On Generalized PF – Rings |
| title_sort | on generalized pf rings |
| topic | generalized pf-ring uniform ring pure ideal |
| url | https://csmj.mosuljournals.com/article_164110_81e6763ba5f0c7c373e8858ec309e0c8.pdf |
| work_keys_str_mv | AT nazarshuker ongeneralizedpfrings AT husammohammad ongeneralizedpfrings |