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    • Generalized epimorphism theorem

      S M Bhatwadekar

      Volume 98 Issue 2-3 December 1988 pp 109-116

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/098/02-03/0109-0116

    • 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

       
      Published
      December 1988
      Manuscript received
      12 January 1988
      Manuscript revised
      24 March 1988

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