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[数论] 如何证明高斯整数环是主理想整环

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hbghlyj posted 2022-10-11 16:59 |Read mode

Last edited by hbghlyj 2022-10-11 18:49Proving the Gaussian Integers are a Principal Ideal Domain
如何证明$\Bbb Z[ i]=\{a+bi:a,b\in\Bbb Z\}$是主理想整环.ResearchGate
但$\Bbb Z[\sqrt{-3}]$不是主理想整环.

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2025-7-24 08:08 GMT+8

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