جۆری توێژینه‌وه‌ : Original Article

نوسه‌ران

Department of Mathematics, College of Science, University of Sulaimani, Sulaimani-Iraq.

پوخته‌

           In this paper, we focus on localization of certain types of submodules such as pure submodules, idempotent submodules, multiplication and multiplication submodules and we try to obtain some relations between these submodules and their localizations. Also, we prove that under certain conditions certain properties of modules can be transferred from the modules to their localizations and conversely at multiplicative systems that isolate these modules and also isolate the rings on which these modules are defined.

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