A Generalization of Von Neumann Regular Rings
In this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular rings. Also we have determined some conditions...
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| Format: | Article |
| Language: | Arabic |
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Mosul University
2009-07-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163808_e7c4a493853404ce6b3f9ac88cbd3403.pdf |
| _version_ | 1818208786351915008 |
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| author | Adil Jabbar |
| author_facet | Adil Jabbar |
| author_sort | Adil Jabbar |
| collection | DOAJ |
| description | In this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular rings. Also we have determined some conditions under which regular and centrally regular rings are equivalent. <br /> |
| first_indexed | 2024-12-12T04:50:21Z |
| format | Article |
| id | doaj.art-e9b31bb15de64973abb000f7cd3cbab5 |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-12-12T04:50:21Z |
| publishDate | 2009-07-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-e9b31bb15de64973abb000f7cd3cbab52022-12-22T00:37:30ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902009-07-016219721010.33899/csmj.2009.163808163808A Generalization of Von Neumann Regular RingsAdil Jabbar0College of Sciences University of SulaimaniIn this paper, we introduce a new ring which is a generalization of Von Neumann regular rings and we call it a centrally regular ring. Several properties of this ring are proved and we have extended many properties of regular rings to centrally regular rings. Also we have determined some conditions under which regular and centrally regular rings are equivalent. <br />https://csmj.mosuljournals.com/article_163808_e7c4a493853404ce6b3f9ac88cbd3403.pdfregular ringscentrally regular ringsindecomposablemultiplicative systemjacobson radical |
| spellingShingle | Adil Jabbar A Generalization of Von Neumann Regular Rings Al-Rafidain Journal of Computer Sciences and Mathematics regular rings centrally regular rings indecomposable multiplicative system jacobson radical |
| title | A Generalization of Von Neumann Regular Rings |
| title_full | A Generalization of Von Neumann Regular Rings |
| title_fullStr | A Generalization of Von Neumann Regular Rings |
| title_full_unstemmed | A Generalization of Von Neumann Regular Rings |
| title_short | A Generalization of Von Neumann Regular Rings |
| title_sort | generalization of von neumann regular rings |
| topic | regular rings centrally regular rings indecomposable multiplicative system jacobson radical |
| url | https://csmj.mosuljournals.com/article_163808_e7c4a493853404ce6b3f9ac88cbd3403.pdf |
| work_keys_str_mv | AT adiljabbar ageneralizationofvonneumannregularrings AT adiljabbar generalizationofvonneumannregularrings |