English-Swedish translations for separable polynomial

Definition of separable polynomial

• 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

Examples

• 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

Related words

• separable
• inseparable
• separable verb
• separable prefix