normal extension - an algebraic field extension L/K is said to be normal if L is the splitting field of a family of polynomials in K[X]. (wikipedia)(adsbygoogle = window.adsbygoogle || []).push({});

I have a question about the 'family of polynomials'

it says the family should be arbitarary large?

if E be an algebraic closure of Q(rational number).

is E a normal extension of Q?

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# Definition of normal extension

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