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

• Autores: V. V. Bavula
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 10, 2008, págs. 2320-2337
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.03.009
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• Resumen

  • 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