separable polynomial

短语

词形变化

separable polynomials 复数 separable polynomials

释义与例句

n.
  1. 1.

    A polynomial over a given field that has distinct roots in the algebraic closure of said field (the number of roots being equal to the degree of the polynomial).

    数学

    Over a perfect field, the separable polynomials are precisely the square-free polynomials.

    The study of the automorphisms of splitting fields of separable polynomials over a field is referred to as Galois theory.