What are...normal and separable extensions?
Goal. Explaining basic concepts of (a classical course in) algebra in an intuitive way. This time. What are...normal and separable extensions? Or: Linear factors matter Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Nonsense. On the “No multiple roots” slide, the derivative should start with na_nX^(n-1). Slides. http://www.dtubbenhauer.com/youtube.html Material used. https://en.wikipedia.org/wiki/Normal_... https://en.wikipedia.org/wiki/Separab... https://en.wikipedia.org/wiki/Purely_... Formal derivative. https://en.wikipedia.org/wiki/Formal_... https://en.wikipedia.org/wiki/Product... Mathematica. https://demonstrations.wolfram.com/Mo... https://reference.wolfram.com/languag... #algebra #galoistheory #mathematics
What are...group actions on fields?
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