separable extension


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separable extension

[′sep·rə·bəl ik′sten·chən]
(mathematics)
A field extension K of a field F is separable if every element of K is a root of a separable polynomial whose coefficients are elements of F.
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References in periodicals archive ?
B is said to be a separable extension if for any right A-module M, the multiplication epimorphism [[micro].
Sugano, On semisimple and separable extensions of noncommutative rings, J.
Hirata, Some types of separable extensions of rings, Nagoya Math.