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Fundamental theorem of ideal theory in number fields

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In ideal theory, the fundamental theorem of ideal theory in number fields states that every nonzero proper ideal in the ring of integers of a number field admits unique factorization into a product of nonzero prime ideals.

References

  • Keith Conrad, Ideal factorization
  • Hilbert, D. The Theory of Algebraic Number Fields. Trans. by Iain T. Adamson. Springer Verlag. ISBN 3-540-62779-0.
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