On Ideals Which Have the Weakly Insertion of Factors Property

A one-sided ideal i of a ring r has the insertion of factors property (or simply, ifp) if ab element of i implies r arb subset of or equal to i for a,b r. we say a one-sided ideal i of has the weakly ifp if for each a,b,r element of r,ab element of i implies(arb)n element of i , 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.