2.1 Stem field. Some irreducibility criteria.

video-placeholder
Loading...
View Syllabus

Reviews

4.3 (119 ratings)

  • 5 stars
    67.22%
  • 4 stars
    15.12%
  • 3 stars
    6.72%
  • 2 stars
    3.36%
  • 1 star
    7.56%

CL

Jun 15, 2016

Filled StarFilled StarFilled StarFilled StarFilled Star

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

Filled StarFilled StarFilled StarFilled StarFilled Star

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

  • Placeholder

    Ekaterina Amerik

    Professor

Explore our Catalog

Join for free and get personalized recommendations, updates and offers.