Abstract

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∘···∘H=0.

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