separable closure

Let K be a field and let L be an algebraic closureMathworldPlanetmath of K. The separable closure of K inside L is the compositum of all finite separable extensionsMathworldPlanetmath of K contained in L (that is to say, the smallest subfieldMathworldPlanetmath of L that contains every finite separable extension of K).

Title separable closure
Canonical name SeparableClosure
Date of creation 2013-03-22 12:12:11
Last modified on 2013-03-22 12:12:11
Owner djao (24)
Last modified by djao (24)
Numerical id 6
Author djao (24)
Entry type Definition
Classification msc 12F10