On Q-Injective, Duo Submodules of C1-Module | ||
| Journal of University of Anbar for Pure Science | ||
| Article 8, Volume 15, Issue 1, April 2021, Pages 49-53 PDF (494.76 K) | ||
| Document Type: Research Paper | ||
| DOI: 10.37652/juaps.2022.172431 | ||
| Authors | ||
| Abdulsalam F. Talak* 1; Majid Mohammed Abed2 | ||
| 1Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq | ||
| 2Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq | ||
| Abstract | ||
| This note investigates modules having quasi-injective and duo submodules. We introduce a new generalization of C_1-module. The main method that was adopted in this generalization is how to obtain a submodule N in M having the characteristic Quasi-injective. We investigate the relationship between pseudo-injective module and Quasi-injective property of C_1-module. Finally, we introduce a new relationship between Quasi-injective submodule and anti-hopfian module. | ||
| Keywords | ||
| Quasi-injective module; Duo submodule; Stable module; Pseudo-injective module | ||
| References | ||
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