Galois Theory pp 139-168 | Cite as

Further Topics in Field Theory

Part of the Universitext book series (UTX)


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.


Closed Subgroup Algebraic Closure Minimum Polynomial Galois Extension Splitting Field 
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© Springer Science+Business Media, Inc. 2006

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