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= Fundamental theorem of ideal theory in number fields
{wiki=Fundamental_theorem_of_ideal_theory_in_number_fields}

The Fundamental Theorem of Ideal Theory in number fields is a crucial result in algebraic number theory that connects ideals in the ring of integers of a number field to the arithmetic and structure of these numbers. Here's an overview of the key concepts involved: 1. **Number Fields**: A number field \\( K \\) is a finite degree field extension of the rational numbers \\( \\mathbb\{Q\} \\).

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