2.3 An example. Algebraic closure.

Loading...
From the course by National Research University Higher School of Economics
Introduction to Galois Theory
81 ratings
National Research University Higher School of Economics

Introduction to Galois Theory

81 ratings
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.

Meet the Instructors

  • Ekaterina Amerik
    Ekaterina Amerik
    Professor
    Department of Mathematics
Coursera provides universal access to the world’s best education, partnering with top universities and organizations to offer courses online.
© 2017 Coursera Inc. All rights reserved.
Download on the App StoreGet it on Google Play