2.5 Extension of homomorphisms. Uniqueness of algebraic closure.

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来自 国立高等经济大学 的课程
Introduction to Galois Theory
87 评分
国立高等经济大学
87 评分
从本节课中
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.

与讲师见面

  • Ekaterina Amerik
    Ekaterina Amerik
    Professor
    Department of Mathematics