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What are...normal and separable extensions?
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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.
Material used.
Formal derivative.
Mathematica.
#algebra
#galoistheory
#mathematics
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.
Material used.
Formal derivative.
Mathematica.
#algebra
#galoistheory
#mathematics
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What are...normal and separable extensions?
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