Purity and projectivity relative to a submodule

المؤلف

Abbas, Mahdi Sadiq

المصدر

المجلة العراقية للعلوم الإحصائية

الناشر

جامعة الموصل كلية علوم الحاسبات و الرياضيات

تاريخ النشر

2013-12-31

دولة النشر

العراق

عدد الصفحات

14

التخصصات الرئيسية

الرياضيات

الملخص الإنجليزي

In the literature there are some links between the notions of directsummands, purity and projectivity.

In this paper, we study these links among the notions but relative to an arbitrary submodules, also a partial links are consider.

Properties and characterizations of these notions which are correspondence, have been given.Among others, the following have been proved.

If M is a projective module, every pure submoduleN relative to a submodule T is projective relative to N > T.

Also if Mis an R-module with R is M-injective, then every projective submoduleof M relative to T is pure relative to T.

As a consequence of the above.

If M > R is quasi-continuous, then M is injective and every projectivesubmodule relative to T is pure relative to T.

نوع البيانات

أوراق مؤتمرات

رقم السجل

BIM-345586

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