Mathematics Colloquium by Prof. Susan Loepp, Wednesday, June 12, 1 - 1:45 pm
Wed, June 12th, 2019
1:00 pm - 1:45 pm
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The Relationship Between Prime Ideals of a Local Ring and Prime Ideals of its Completion by Prof. Susan Loepp, Mathematics Colloquium, Wednesday, June 12, 1 – 1:45 pm., Stetson Court Classroom 101
Abstract: Given a Noetherian ring R with exactly one maximal ideal, we define a metric on the ring with respect to the maximal ideal. We then complete the metric, and call the resulting ring the completion of R. In this talk, we will present recent results, as well as open questions regarding the relationship between the prime ideals of a local ring and the prime ideals of its completion.
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