---
res:
  bibo_abstract:
  - "Let $K$ be a field of characteristic $0$ and $k \\geq 2$ be an integer. We\r\nprove
    that every $K$-linear bijection $f : K[X] \\to K[X]$ strongly preserving\r\nthe
    set of $k$-free polynomials (or the set of polynomials with a $k$-fold root\r\nin
    $K$) is a constant multiple of a $K$-algebra automorphism of $K[X]$, i.e.,\r\nthere
    are elements $a, c \\in K^{\\times}$, $b \\in K$ such that $f(P)(X) = c P(a\r\nX
    + b)$. When $K$ is a number field or $K=\\mathbb{R}$, we prove that similar\r\nstatements
    hold when $f$ preserves the set of polynomials with a root in $K$.@eng"
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Beranger Fabrice
      foaf_name: Seguin, Beranger Fabrice
      foaf_surname: Seguin
      foaf_workInfoHomepage: http://www.librecat.org/personId=102487
  bibo_doi: 10.1007/s13366-025-00800-2
  dct_date: 2025^xs_gYear
  dct_language: eng
  dct_title: Symmetries of various sets of polynomials@
...