Category:Definitions/Separable Polynomials

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This category contains definitions related to Separable Polynomials.
Related results can be found in Category:Separable Polynomials.


Definition 1

$P$ is separable if and only if its roots are distinct in an algebraic closure of $K$.


Definition 2

$P$ is separable if and only if it has no double roots in every field extension of $K$.


Definition 3

$P$ is separable if and only if it has $n$ distinct roots in every field extension where $P$ splits.

Pages in category "Definitions/Separable Polynomials"

The following 4 pages are in this category, out of 4 total.