2.5 Extension of homomorphisms. Uniqueness of algebraic closure.

Loading...
來自 National Research University Higher School of Economics 的課程
Introduction to Galois Theory
90 個評分
National Research University Higher School of Economics
90 個評分
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.

與講師見面

  • Ekaterina Amerik
    Ekaterina Amerik
    Professor
    Department of Mathematics

探索我們的目錄

免費加入並獲得個性化推薦、更新和優惠。