In https://www.jmilne.org/math/CourseNotes/FT.pdf Milne's Galois theory notes- chapter 8, he remarks that it is possible to classify etale algebras without using Galois theory then deduce Galois theory and he will explain this sometime. Does any one know the reference for the same (either by Milne or someone else's material)?




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  [1]: https://i.sstatic.net/33aybqlD.png