SOME RESULTS ABOUT CORETRACTABLE MODULES

Authors

  • Inaam Mohammed Ali Hadi University Of Baghdad,College 0f Education (Ibn-Al-Haitham)
  • Shukur Neamah Al-aeashi University Of Kufa,College 0f Physical Planning

DOI:

https://doi.org/10.29304/jqcm.2017.9.2.160

Keywords:

coretractable modules, multiplication modules, quasi-Dedekind modules, rationally–injective modules, prime module

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.

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Published

2017-08-21

How to Cite

Mohammed Ali Hadi, I., & Neamah Al-aeashi, S. (2017). SOME RESULTS ABOUT CORETRACTABLE MODULES. Journal of Al-Qadisiyah for Computer Science and Mathematics, 9(2), Math 40–48. https://doi.org/10.29304/jqcm.2017.9.2.160

Issue

Vol. 9 No. 2 (2017): JQCM

Section

Math Articles

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