Wnil-Injective Modules
A right module M is called Wnil-injective if for any 0 ¹ a Î N( R ), there exists a positive integer n such that a<sup>n </sup>¹ 0 and any right R-homomorphism f : a<sup>n</sup>R ® M can be extended to R ® M. In this paper , we first give and develope various properties of ri...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
Mosul University
2010-03-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_163852_d9d36329db4466ed44ede2248daee4c2.pdf |
| _version_ | 1811267955129843712 |
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| author | Raida Mahmood Husam Mohammad |
| author_facet | Raida Mahmood Husam Mohammad |
| author_sort | Raida Mahmood |
| collection | DOAJ |
| description | A right module M is called Wnil-injective if for any 0 ¹ a Î N( R ), there exists a positive integer n such that a<sup>n </sup>¹ 0 and any right R-homomorphism f : a<sup>n</sup>R ® M can be extended to R ® M. In this paper , we first give and develope various properties of right Wnil-injective rings, by which, many of the known results are extended. Also, we study the relations between such rings and reduced rings by adding some types of rings, such as SRB-rings, and other types of rings. |
| first_indexed | 2024-04-12T21:13:15Z |
| format | Article |
| id | doaj.art-e753922292d94944b6bdf27c58c1729d |
| institution | Directory Open Access Journal |
| issn | 1815-4816 2311-7990 |
| language | Arabic |
| last_indexed | 2024-04-12T21:13:15Z |
| publishDate | 2010-03-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj.art-e753922292d94944b6bdf27c58c1729d2022-12-22T03:16:32ZaraMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902010-03-017113514310.33899/csmj.2010.163852163852Wnil-Injective ModulesRaida Mahmood0Husam Mohammad1College of Computer Sciences and Mathematics University of Mosul, Mosul, IraqCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqA right module M is called Wnil-injective if for any 0 ¹ a Î N( R ), there exists a positive integer n such that a<sup>n </sup>¹ 0 and any right R-homomorphism f : a<sup>n</sup>R ® M can be extended to R ® M. In this paper , we first give and develope various properties of right Wnil-injective rings, by which, many of the known results are extended. Also, we study the relations between such rings and reduced rings by adding some types of rings, such as SRB-rings, and other types of rings.https://csmj.mosuljournals.com/article_163852_d9d36329db4466ed44ede2248daee4c2.pdfwnil-injective modulesn- regular ringsreduced ringssrb- rings |
| spellingShingle | Raida Mahmood Husam Mohammad Wnil-Injective Modules Al-Rafidain Journal of Computer Sciences and Mathematics wnil-injective modules n- regular rings reduced rings srb- rings |
| title | Wnil-Injective Modules |
| title_full | Wnil-Injective Modules |
| title_fullStr | Wnil-Injective Modules |
| title_full_unstemmed | Wnil-Injective Modules |
| title_short | Wnil-Injective Modules |
| title_sort | wnil injective modules |
| topic | wnil-injective modules n- regular rings reduced rings srb- rings |
| url | https://csmj.mosuljournals.com/article_163852_d9d36329db4466ed44ede2248daee4c2.pdf |
| work_keys_str_mv | AT raidamahmood wnilinjectivemodules AT husammohammad wnilinjectivemodules |