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Algebraic function field
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==Field of constants== Given any algebraic function field ''K'' over ''k'', we can consider the [[Set (mathematics)|set]] of elements of ''K'' which are [[algebraic element|algebraic]] over ''k''. These elements form a field, known as the ''field of constants'' of the algebraic function field. For instance, '''C'''(''x'') is a function field of one variable over '''R'''; its field of constants is '''C'''.
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