Keywords : Dedekind modules

T-essentially Quasi-Dedekind modules

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2019, Volume 11, Issue 1, Pages 1-10

In this paper, we introduce and study type of modules namely (t-essentially quasi-Dedekind modules) which is generalization of quasi-Dedekind modules and essentially quasi-Dedekind module. Also, we introduce the class of t-essentially prime modules which contains the class of t-essentially quasiDedekind modules.


Shukur Neamah Al-aeashi; Inaam Mohammed Ali Hadi

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2017, Volume 9, Issue 2, Pages 40-48

Throughout this paper, all rings have identities and all modules are unitary right modules. Let R be a ring and M an R-module. A module M is called coretractable if for each proper submodule N of M, there exists a nonzero homomorphism f from M/N into M. Our concern in this paper is to develop basic properties of coretractable modules and to look for any relations between coretractable modules and other classes of modules.