5.6 Artin's theorem.

Course video 30 of 55

We apply the discussion from the last lecture to the case of field extensions. We show that the separable extensions remain reduced after a base change: the inseparability is responsible for eventual nilpotents. As our next subject, we introduce normal and Galois extensions and prove Artin's theorem on invariants. This week, the first graded assignment is given.

À propos de Coursera

Cours, Spécialisations et Diplômes en ligne enseignés par des enseignants du plus haut niveau provenant des meilleurs universités et établissements d'enseignement du monde.

Join a community of 40 million learners from around the world
Earn a skill-based course certificate to apply your knowledge
Gain confidence in your skills and further your career