TY - JOUR ID - TI - Purity And Projectivity Relative To A Submodule AU - Mehdi S. Abbas PY - 2013 VL - 13 IS - 3عدد خاص بالمؤتمر السادس SP - 49 EP - 63 JO - IRAOI JOURNAL OF STATISTICAL SCIENCES المجلة العراقية للعلوم الاحصائية SN - 1680855X 26642956 AB - In the literature there are some links between the notions ofdirectsummands, purity and projectivity. In this paper, we study theselinks among the notions but relative to an arbitrary submodules, also apartial links are consider. Properties and characterizations of thesenotions which are correspondence, have been given.Among others, thefollowing have been proved. If M is a projective module, every puresubmoduleN relative to a submodule T is projective relative to N

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