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For questions about factorization, the decomposition of mathematical objects (e.g. natural numbers, polynomials) into products of smaller objects (e.g. primes, lower degree polynomials).

16 votes

Seeking Noetherian normal domain with vanishing Picard group but not a UFD

Here is a very simple way to find an example: If $R$ is local, then the Picard group is always trivial (because locally free = free here). So basically you want a local normal domain which is not UF …
Hailong Dao's user avatar
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