2.5 Extension of homomorphisms. Uniqueness of algebraic closure.

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Oct 29, 2020

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Feb 26, 2017

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From the lesson
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

    Professor

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