Lecture 9. Primitive Elements скачать в хорошем качестве

Lecture 9. Primitive Elements

0:00 Definition of a primitive element 1:47 Theorem on existence of a primitive element 9:25 Example of a non-separable extension without a primitive element 11:26 In a finite separable field extension there is only a finite number of intermediate subfields 15:50 Counterexample for a non-separable field extension In this lecture we prove that a finite separable extension is generated by a single (primitive) element. This is a lecture in a graduate course "Groups and Galois Theory". Here is the complete playlist for this course:    • Groups and Galois Theory (remastered)