  In this article, we introduce the weak ideal-Armendariz ring which combines
Armendariz ring and weakly semicommutative properties of rings. In fact, it is
a generalisation of an ideal-Armendariz ring. We investigate some properties of
weak ideal Armendariz rings and prove that R is a weak ideal-Armendariz ring if
and only if R[x] is weak ideal-Armendariz ring. Also, we generalise weak
ideal-Armendariz as strongly nil-IFP and a number of properties are discussed
which distinguishes it from other existing structures. We prove that if I is a
semicommutative ideal of a ring R and R/I is a strongly nil-IFP, then R is
strongly nil-IFP. Moreover, if R is 2-primal, then R[x]/<x^{n}> is a strongly
nil-IFP.
