A New Class of Invertible Polynomial Maps Original Research Article

In this paper we present a new large class of polynomial mapsF = X + H : An → An(Definition 1.1) on every commutative ringAfor which the Jacobian Conjecture is true. In particularHdoes not need to be homogeneous. We also show that for allHin this class satisfyingH(0) = 0 thenth iterateH ring operator ··· ring operator H = 0.