Finitely arithmetically fixed elements of a field
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An element r of a field L will be called finitely arithmetically fixed (f.a.f.) if there exists some finite subset A of L containing r such that every map f from A to L which behaves “like a homomorphism” on A, leaves r fixed. This notion will be generalized to a relative one for any field extension L/K, and several results describing the set of f.a.f. elements are obtained.
Mathematics Subject Classification (2000).Primary 12F10 Secondary 12J10
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