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Results tagged with nt.number-theory
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user 27552
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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Factor rings of the ring of integers in a number field
An ideal $I$ in the ring of integers $\mathcal O$ of some number field factors into a product $I = P_1^{e_1} \cdots P_r^{e_r}$ of prime ideals. Hence,
$$ \mathcal O/I \cong \prod \mathcal O/P_i^{e_i}. …
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