2.5 Extension of homomorphisms. Uniqueness of algebraic closure.

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從本節課中
Week 2
We introduce the notion of a stem field and a splitting field (of a polynomial). Using Zorn's lemma, we construct the algebraic closure of a field and deduce its unicity (up to an isomorphism) from the theorem on extension of homomorphisms.

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  • Ekaterina Amerik

    Ekaterina Amerik

    Professor

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