On Almost WJCP-Injective Rings
Let R be a ring. The ring is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal of such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper generalization of JCP-injective ring and almost...
| Main Authors: | , |
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| Format: | Article |
| Language: | Arabic |
| Published: |
College of Education for Pure Sciences
2019-03-01
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| Series: | مجلة التربية والعلم |
| Subjects: | |
| Online Access: | https://edusj.mosuljournals.com/article_160915_77134500a1e67f27b4ae8c30919a9aec.pdf |
| _version_ | 1819064410780467200 |
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| author | Shaima Ahmed Raed Mahmoud |
| author_facet | Shaima Ahmed Raed Mahmoud |
| author_sort | Shaima Ahmed |
| collection | DOAJ |
| description | Let R be a ring. The ring is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal of such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper generalization of JCP-injective ring and almost AP-injective ring. Then, we study the regularity of the right almost WJCP-injective ring and some important results which are known for the right JCP-injective rings to be hold for the right almost WJCP-injective rings. |
| first_indexed | 2024-12-21T15:30:08Z |
| format | Article |
| id | doaj.art-43664859c32d471b8a7419ad861da6a0 |
| institution | Directory Open Access Journal |
| issn | 1812-125X 2664-2530 |
| language | Arabic |
| last_indexed | 2024-12-21T15:30:08Z |
| publishDate | 2019-03-01 |
| publisher | College of Education for Pure Sciences |
| record_format | Article |
| series | مجلة التربية والعلم |
| spelling | doaj.art-43664859c32d471b8a7419ad861da6a02022-12-21T18:58:47ZaraCollege of Education for Pure Sciencesمجلة التربية والعلم1812-125X2664-25302019-03-01281838910.33899/edusj.2019.160915160915On Almost WJCP-Injective RingsShaima AhmedRaed MahmoudLet R be a ring. The ring is called right almost WJCP-injective. If for any , (right non singular) there exists a left ideal of such that . In this paper, we give some characterization and properties of almost WJCP-injective rings, which are proper generalization of JCP-injective ring and almost AP-injective ring. Then, we study the regularity of the right almost WJCP-injective ring and some important results which are known for the right JCP-injective rings to be hold for the right almost WJCP-injective rings.https://edusj.mosuljournals.com/article_160915_77134500a1e67f27b4ae8c30919a9aec.pdfjcp-injective ringsalmost nil-injective ringsquasi regular rings and reduced rings |
| spellingShingle | Shaima Ahmed Raed Mahmoud On Almost WJCP-Injective Rings مجلة التربية والعلم jcp-injective rings almost nil-injective rings quasi regular rings and reduced rings |
| title | On Almost WJCP-Injective Rings |
| title_full | On Almost WJCP-Injective Rings |
| title_fullStr | On Almost WJCP-Injective Rings |
| title_full_unstemmed | On Almost WJCP-Injective Rings |
| title_short | On Almost WJCP-Injective Rings |
| title_sort | on almost wjcp injective rings |
| topic | jcp-injective rings almost nil-injective rings quasi regular rings and reduced rings |
| url | https://edusj.mosuljournals.com/article_160915_77134500a1e67f27b4ae8c30919a9aec.pdf |
| work_keys_str_mv | AT shaimaahmed onalmostwjcpinjectiverings AT raedmahmoud onalmostwjcpinjectiverings |