Mathematical Sciences Classification System
12Exx - General field theory
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12E05Polynomials (irreducibility, etc.)
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12E10Special polynomials
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12E12Equations
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12E15
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12E20Finite fields (field-theoretic aspects)
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12E25Hilbertian fields; Hilbert's irreducibility theorem
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12E30Field arithmetic
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12E99None of the above, but in this section