Galois theory: Splitting fields
Автор: Richard E Borcherds
Загружено: 2020-12-28
Просмотров: 30941
This lecture is part of an online course on Galois theory.
We define the splitting field of a polynomial p over a field K (a field that is generated by roots of p and such that p splits into linear factors). We give a few examples, and show that it exists and is unique up to isomorphism.
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