• Generalized epimorphism theorem

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    • Keywords


      Epimorphism theorem; polynomial ring; seminormal domain; characteristic zero

    • Abstract


      LetR[X, Y] be a polynomial ring in two variables over a commutative ringR and letF∈R[X, Y] such thatR[X, Y]/(F)=R[Z] (a polynomial ring in one variable). In this set-up we prove thatR[X, Y]=R[F, G] for someG∈R[X, Y] if eitherR contains a field of characteristic zero orR is a seminormal domain of characteristic zero.

    • Author Affiliations


      S M Bhatwadekar1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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