Benner
د. شكر العياشي ( مدرس )
كلية التربية - الرياضيات
[email protected]
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Strongly Coretractable Modules
تحميل
بحث النوع:
علوم التخصص العام:
انعام محمد علي هادي / جامعة بغداد / كلية التربية ابن الهيثم اسم الناشر:
شكر نعمة العياشي / جامعة الكوفة / كلية التخطيط العمراني / قسم التخطيط الحضري اسماء المساعدين:
مجلة كلية العلوم / جامعة بغداد الجهة الناشرة:
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2017 سنة النشر:

الخلاصة

Let R be a ring with identity and M be an R-module with unity . In this paper we introduce the notion of strongly coretractable modules . Where M is called strongly coretractable module if for each proper submodule N of M , there exists a nonzero R-homomorphism f:M/N→M such that Imf+N=M . Some basic properties of this class of modules are investigated and some relationships between these modules and other related concepts are introduced . Keywords and phrases : coretractable modules , strongly coretractable modules , epi-coretractable and coquasi-Dedekind module .