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On Almost WJCP-Injective Rings | ||
| Journal of Education and Science | ||
| Article 8, Volume 28, Issue 1, 2019, Pages 83-89 PDF (533.96 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/edusj.2019.160915 | ||
| Authors | ||
| Shaima Hatem Ahmed; Raed Dawood Mahmoud | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| JCP-injective rings; almost nil-injective rings; quasi regular rings and reduced rings | ||
| References | ||
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