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Let T be a commutative field, let S be a subfield of T. Describe in all details how a Galois pair (7,0) arises from

 

Let T be a commutative field, let S be a subfield of T. Describe in all details how a Galois pair (7,0) arises from T and S. (What are the two ordered sets one needs for this Galois pair? How do you define the order relation in both cases? How does one define y? How does one define o?)

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