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SOME RESULTS ABOUT CORETRACTABLE MODULES | ||
| Journal of Al-Qadisiyah for Computer Science and Mathematics | ||
| Article 1, Volume 9, Issue 2, 2017, Pages 40-48 PDF (0 K) | ||
| Authors | ||
| Shukur Neamah Al-aeashi; Inaam Mohammed Ali Hadi | ||
| Abstract | ||
| 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. | ||
| Keywords | ||
| coretractable modules; multiplication modules; quasi; Dedekind modules; rationally; prime module | ||
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