TY - JOUR ID - TI - Locally Split Homomorphisms Relative To A Sub module AU - Mehdi S. Abbas PY - 2013 VL - 13 IS - 3عدد خاص بالمؤتمر السادس SP - 21 EP - 48 JO - IRAOI JOURNAL OF STATISTICAL SCIENCES المجلة العراقية للعلوم الاحصائية SN - 1680855X 26642956 AB - In this article,for a positive integer n ,the concept of n-locally splithomomorphism relative to a sub module has been introduced andstudied,which will turn out to be most useful in the studying and providingcharacterizations of local projectivity, local-regularity in the sense of(Zelmanowitz, Field house and Ware) relative to a sub module.They presentgeneralization of projectivity and the three types of regularity which havebeen mentioned respectivily.Keywords: n-locally(T)-split homomorphisms,n-locally(T)-projective modules, n-(T)-regular modules,(T)-pure sub modules and Zelmanowitz (Field house) (T)-regularmodules.

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