SOME RESULTS ABOUT CORETRACTABLE MODULES
Journal of Al-Qadisiyah for Computer Science and Mathematics
2017, Volume 9, Issue 2, Pages 40-48 Math
2017, Volume 9, Issue 2, Pages 40-48 Math
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–injective modules, prime moduleMetrics