On Local Rings
A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular rings.
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| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2014-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163734_5918040e97a74ae60df25949d4144918.pdf |
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| _version_ | 1850228578055094272 |
|---|---|
| author | Zubayda Ibraheem Anees Fthee |
| author_facet | Zubayda Ibraheem Anees Fthee |
| author_sort | Zubayda Ibraheem |
| collection | DOAJ |
| description | A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular rings. |
| format | Article |
| id | doaj-art-2b6e3cd344cb46c2b299a9c906e45590 |
| institution | OA Journals |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2014-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-2b6e3cd344cb46c2b299a9c906e455902025-08-20T02:04:30ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902014-07-01111939710.33899/csmj.2014.163734163734On Local RingsZubayda Ibraheem0Anees Fthee1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqDepartment of Mathematics, College of Computer Science and Mathematics University of Mosul, IRAQA ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular rings.https://csmj.mosuljournals.com/article_163734_5918040e97a74ae60df25949d4144918.pdflocalvon neumann regular and strongly regular rings |
| spellingShingle | Zubayda Ibraheem Anees Fthee On Local Rings Al-Rafidain Journal of Computer Sciences and Mathematics local von neumann regular and strongly regular rings |
| title | On Local Rings |
| title_full | On Local Rings |
| title_fullStr | On Local Rings |
| title_full_unstemmed | On Local Rings |
| title_short | On Local Rings |
| title_sort | on local rings |
| topic | local von neumann regular and strongly regular rings |
| url | https://csmj.mosuljournals.com/article_163734_5918040e97a74ae60df25949d4144918.pdf |
| work_keys_str_mv | AT zubaydaibraheem onlocalrings AT aneesfthee onlocalrings |