2.5 Extension of homomorphisms. Uniqueness of algebraic closure.

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PM

Jul 31, 2020

A difficult course for me, personally, but that makes it all the more worth it! Taking this course has helped me learn more I thought I would. Definitely recommended.

CL

Jun 16, 2016

Outstanding course so far - a great refresher for me on Galois theory. It's nice to see more advanced mathematics classes on Coursera.

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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