On Rings whose Maximal Ideals are GP-Ideals
This paper introduces the notion of maximal GP-ideal .We studied the class of rings whose maximal left ideal are right GP-ideal. We call such ring MRGP-rings. We consider a necessary and sufficient condition for MRGP-rings to be MRCP-rings. We also study the connection between MRGP-ring, kasch ring,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2005-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_164080_1d541c5e1815f93801db04661b7f04fd.pdf |
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| _version_ | 1850275041309097984 |
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| author | Raida Mahmood Manal Abd |
| author_facet | Raida Mahmood Manal Abd |
| author_sort | Raida Mahmood |
| collection | DOAJ |
| description | This paper introduces the notion of maximal GP-ideal .We studied the class of rings whose maximal left ideal are right GP-ideal. We call such ring MRGP-rings. We consider a necessary and sufficient condition for MRGP-rings to be MRCP-rings. We also study the connection between MRGP-ring, kasch ring, division ring and the strongly regular ring. |
| format | Article |
| id | doaj-art-c511f933718d4698bf8e1e13fce60dd5 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2005-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-c511f933718d4698bf8e1e13fce60dd52025-08-20T01:50:57ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902005-12-0122273110.33899/csmj.2005.164080164080On Rings whose Maximal Ideals are GP-IdealsRaida Mahmood0Manal Abd1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, IraqThis paper introduces the notion of maximal GP-ideal .We studied the class of rings whose maximal left ideal are right GP-ideal. We call such ring MRGP-rings. We consider a necessary and sufficient condition for MRGP-rings to be MRCP-rings. We also study the connection between MRGP-ring, kasch ring, division ring and the strongly regular ring.https://csmj.mosuljournals.com/article_164080_1d541c5e1815f93801db04661b7f04fd.pdfstrongaly regularkaschgp-idealdivision ring |
| spellingShingle | Raida Mahmood Manal Abd On Rings whose Maximal Ideals are GP-Ideals Al-Rafidain Journal of Computer Sciences and Mathematics strongaly regular kasch gp-ideal division ring |
| title | On Rings whose Maximal Ideals are GP-Ideals |
| title_full | On Rings whose Maximal Ideals are GP-Ideals |
| title_fullStr | On Rings whose Maximal Ideals are GP-Ideals |
| title_full_unstemmed | On Rings whose Maximal Ideals are GP-Ideals |
| title_short | On Rings whose Maximal Ideals are GP-Ideals |
| title_sort | on rings whose maximal ideals are gp ideals |
| topic | strongaly regular kasch gp-ideal division ring |
| url | https://csmj.mosuljournals.com/article_164080_1d541c5e1815f93801db04661b7f04fd.pdf |
| work_keys_str_mv | AT raidamahmood onringswhosemaximalidealsaregpideals AT manalabd onringswhosemaximalidealsaregpideals |