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What does "Hauptidealsatz" mean in "Krull's Hauptidealsatz"? Thank you very much.

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up vote 10 down vote accepted

Google gives "Krull's principal ideal theorem".

More precisely, "Haupt-" is principal, "ideal" is, well, ideal, and "satz" is theorem. Compare to Hilbert's Nullstellensatz.

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(Nullstellensatz = zero-locus theorem. Null = zero, Stellen = sites or locations, Satz = theorem or statement) –  Stahl May 9 '13 at 1:33

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