Further Topics in Field Theory
We now wish to further investigate questions related to separability and inseparability of algebraic extensions. Recall from Corollary 3.2.3 that every algebraic extension in characteristic 0 is separable, so in this case there is nothing more to be said. Thus in this section we shall assume that char(F)=p>0.
KeywordsClosed Subgroup Algebraic Closure Minimum Polynomial Galois Extension Splitting Field
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