In number 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. In other words, every ring of integers of a number field is a Dedekind domain.
References
- Keith Conrad, Ideal factorization
- Hilbert, D. (20 August 1998). The Theory of Algebraic Number Fields. Trans. by Iain T. Adamson. Springer Verlag. ISBN 3-540-62779-0.
 | This number theory-related article is a stub. You can help Wikipedia by expanding it. |
In number 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. In other words, every ring of integers of a number field is a Dedekind domain.
References
- Keith Conrad, Ideal factorization
- Hilbert, D. (20 August 1998). The Theory of Algebraic Number Fields. Trans. by Iain T. Adamson. Springer Verlag. ISBN 3-540-62779-0.
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| This number theory-related article is a stub. You can help Wikipedia by expanding it. |