If is a splitting field over of a separable polynomial, why is a separable extension of which means , is a root of a separable polynomial over ?
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Originally Posted by ynj If is a splitting field over of a separable polynomial, why is a separable extension of which means , is a root of a separable polynomial over ? the proof of this theorem can be found in any textbook in field theory. the idea is to prove, by induction over that
Em..I am sorry that I do not fully understand whay my book is saying..but now I understand...
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