English Dictionary

separable polynomial

noun

(algebra, field theory) 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).

A separable polynomial is a polynomial that can be factored into linear factors over a field.

意味（1）

(algebra, field theory) 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).

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