2.3 An example. Algebraic closure.

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CL
Jun 15, 2016

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

DG
Oct 29, 2020

You need to work hard to complete this course. Awesome exercises. I learned a lot from this course.

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.

Taught By

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    Ekaterina Amerik

    Professor

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