University of Tehran Journal of Sciences, Islamic Republic of Iran 1016-1104 19 2 2008 09 01 On Ideals Which Have the Weakly Insertion of Factors Property - 31888 EN Journal Article A one-sided ideal of a ring has the insertion of factors property (or simply, IFP) if implies r for . We say a one-sided ideal of has the weakly IFP if for each , implies , for some non-negative integer . We give some examples of ideals which have the weakly IFP but have not the IFP. Connections between ideals of which have the IFP and related ideals of some ring extensions are also shown. https://jsciences.ut.ac.ir/article_31888_01e651518630062d985188c1f0dbd83a.pdf