On GAN-injective Rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Volume 17, Issue 1, June 2023, Pages 115-117 PDF (532.36 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2023.179510 | ||
| Authors | ||
| Hazim T Hazim* 1; Raida D. Mahmood2 | ||
| 1Northern Technical University / Technical Institute of Mosul | ||
| 2College of Computer Sciences and Mathematics University of Mosul, Mosul, Iraq | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| Nil-injective rings; n-regular rings; reduced rings; ANil-injective rings | ||
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