imagen(A) for a Class of Polynomial Automorphisms and Stably Tameness Original Research Article

In this paper we introduce a set, denoted by imagen(A), for every commutative ringAand every positive integern. It is shown that the elements of this set can be used to give an explicit description of the class imagen(A) introduced in[6]. We deduce that each polynomial map of the formF = X + HwithH set membership, variant imagen(A) can be written as a finite product of automorphisms of the form exp(D), where eachDis a locally nilpotent derivation satisfyingD2(Xi) = 0 for alli. Furthermore we deduce that all suchFs are stably tame.