On GAN-injective Rings
If for any maximal right ideal P of B and a ∈ N(B) ,aB/ aP is almost N-injective, then a ring B is said to be right generalized almost N-injective. In this article, we present some significant findings that are known for right almost N-injective rings and demonstrate that they hold...
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| Format: | Article |
| Language: | English |
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Mosul University
2023-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_179510_b43377e97e9b32fe8d2e797c7421457a.pdf |
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| _version_ | 1849768466400149504 |
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| author | Hazim Hazim Raida Mahmood |
| author_facet | Hazim Hazim Raida Mahmood |
| author_sort | Hazim Hazim |
| collection | DOAJ |
| description | If for any maximal right ideal P of B and a ∈ N(B) ,aB/ aP is almost N-injective, then a ring B is said to be right generalized almost N-injective. In this article, we present some significant findings that are known for right almost N-injective rings and demonstrate that they hold for right generalized almost N-injective rings. At the same time, we study the case in which every S.S.Right B-module is generalized almost N-injective. |
| format | Article |
| id | doaj-art-6080cfcbc1ec4f048c11f7351a87b4b8 |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-6080cfcbc1ec4f048c11f7351a87b4b82025-08-20T03:03:46ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902023-06-0117111511710.33899/csmj.2023.179510179510On GAN-injective RingsHazim Hazim0Raida Mahmood1Northern Technical University / Technical Institute of MosulCollege of Computer Sciences and Mathematics University of Mosul, Mosul, IraqIf for any maximal right ideal P of B and a ∈ N(B) ,aB/ aP is almost N-injective, then a ring B is said to be right generalized almost N-injective. In this article, we present some significant findings that are known for right almost N-injective rings and demonstrate that they hold for right generalized almost N-injective rings. At the same time, we study the case in which every S.S.Right B-module is generalized almost N-injective. https://csmj.mosuljournals.com/article_179510_b43377e97e9b32fe8d2e797c7421457a.pdfnil-injective ringsn-regular ringsreduced ringsanil-injective rings |
| spellingShingle | Hazim Hazim Raida Mahmood On GAN-injective Rings Al-Rafidain Journal of Computer Sciences and Mathematics nil-injective rings n-regular rings reduced rings anil-injective rings |
| title | On GAN-injective Rings |
| title_full | On GAN-injective Rings |
| title_fullStr | On GAN-injective Rings |
| title_full_unstemmed | On GAN-injective Rings |
| title_short | On GAN-injective Rings |
| title_sort | on gan injective rings |
| topic | nil-injective rings n-regular rings reduced rings anil-injective rings |
| url | https://csmj.mosuljournals.com/article_179510_b43377e97e9b32fe8d2e797c7421457a.pdf |
| work_keys_str_mv | AT hazimhazim onganinjectiverings AT raidamahmood onganinjectiverings |