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A Noetherian UFD with a Stunningly Strange Prime Ideal Structure by Prof. Susan Loepp, Williams

Fri, September 20th, 2024
1:00 pm
- 1:50 pm

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A Noetherian Unique Factorization Domain with a Stunningly Strange Prime Ideal Structure by Prof. Susan Loepp, Williams College, Friday September 20, 1:00 – 1:50pm, North Science Building 015, Wachenheim, Faculty Seminar

 

Abstract: We construct a four-dimensional Noetherian Unique Factorization Domain that is as noncatenary as possible. In particular, for every height one prime ideal P, the ring A/P is not catenary. This is joint work with Alexandra Bonat ’23.

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