Resumen de The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic

V. V. Bavula

• Let K be an arbitrary field of characteristic p>0. We find an explicit formula for the inverse of any algebra automorphism of any of the following algebras: the polynomial algebra PnK[x1,�,xn], the ring of differential operators on Pn, , the n�th Weyl algebra An or AnPm, the power series algebra K[[x1,�,xn]], the subalgebra Tk1,�,kn of generated by Pn and the higher derivations , 0=j