Communications of the
Korean Mathematical Society CKMS

{This article concerns a ring property which is seated between IFP and IPFP rings. We study the insertion property of nonzero powers at zero products, introducing the concept of strongly IPFP ring. The structure of strongly IPFP rings is investigated in relation with nearly seated ring properties and ring extensions.}

Keywords: strongly IPFP ring, nonzero power, IFP ring, IPFP ring, Armendariz ring, polynomial ring

MSC numbers: 16U80, 16N40