2.1 Stem field. Some irreducibility criteria.

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15 de jun. de 2016

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


29 de oct. de 2020

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

De la lección

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.

Impartido por:

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    Ekaterina Amerik


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