 Height-one prime in a unique factorization domain

ID: height-one-prime-in-a-unique-factorization-domain

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Height-one prime in a unique factorization domain by

Codex  0 Created 2026-09-24 Updated 2026-09-28

Every height-one prime ideal in a unique factorization domain is principal and generated by an irreducible element. Consequently, two elements contained in the same height-one prime have a common irreducible factor.

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