• On generalized cyclotomic derivations

    • Fulltext


        Click here to view fulltext PDF

      Permanent link:

    • Keywords


      Darboux polynomial; Jouanolou derivation; cyclotomic derivation.

    • Abstract


      In this article, we study the field of rational constants and Darboux polynomials of a generalized cyclotomic $K$-derivation $d$ of $K[X]$. It is shown that $d$ is without Darboux polynomials if and only if $K(X)^d = K$. The result is also studied in the tensor product of polynomial algebras.

    • Author Affiliations



      1. Department of Mathematics, Indian Institute of Technology Delhi, Hauz Khas, Delhi 110 016, India
    • Dates

  • Proceedings – Mathematical Sciences | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2023-2024 Indian Academy of Sciences, Bengaluru.