integral domain with the ACCP in which every maximal ideal is principal

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hbghlyj 发表于 2023-2-11 23:43 |阅读模式

II.6. Suppose that $R$ is an integral domain with the ACCP in which every maximal ideal is principal. Show that $R$ is a PID.

Related: an integral domain whose every prime ideal is principal is a PID.

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