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(Quasi-)Injective Extending Gamma Modules | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 9, Issue 2, 2017, Pages 71-80 PDF (0 K) | ||
| Authors | ||
| Emad Allawi Shallal; Saad Abdulkadhim Al-Saadi; Mehdi S. Abbas | ||
| Abstract | ||
| In this paper we introduce and study the concept of injective (Quasi-injective) extending gamma modules as a generalization of injective (Quasi-injective) gamma modules. An R_Γ-module E is called injective (Quasi-injective) extending gamma modules if each proper R_Γ-submodule in E is essential in injective (Quasi-injective) R_Γ-submodule of E. The concept of injective extending gamma modules lie between injective gamma modules and quasi-injective gamma modules. | ||
| Keywords | ||
| Gamma module; injective gamma module; quasi; extending gamma module; essential gamma submodule; closed gamma submodule | ||
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