(Quasi-)Injective Extending Gamma Modules

  • Mehdi S. Abbas Department of Mathematics, College of Science, Al-Mustansiriyah University
  • Saad Abdulkadhim Al-Saadi Department of Mathematics, College of Science, Al-Mustansiriyah University
  • Emad Allawi Shallal Department of Mathematics, College of Science, Al-Mustansiriyah University
DOI: https://doi.org/10.29304/jqcm.2017.9.2.297
Keywords: Gamma module, injective gamma module, quasi-injective gamma module, extending gamma module, essential gamma submodule, closed gamma submodule.

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 module  is called injective (Quasi-injective) extending gamma modules if each proper submodule in  is essential in injective (Quasi-injective) submodule of . The concept of injective extending gamma modules lie between injective gamma modules and quasi-injective gamma modules.

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Published
2017-11-15
How to Cite
S. Abbas, M., Abdulkadhim Al-Saadi, S., & Allawi Shallal, E. (2017). (Quasi-)Injective Extending Gamma Modules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 9(2), Math 71-80. https://doi.org/10.29304/jqcm.2017.9.2.297
Issue
Vol 9 No 2 (2017)
Section
Math Articles