Embedding Partially Ordered Sets in the Spectrum of Pre-Completions of Complete Local Rings

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Description
"How bad can precompletions be? We know a good deal about complete local rings, and we generally hope that their precompletions are similarly nice. However, under the right circumstances, we can find complete local rings with almost arbitrarily "bad" precompletions. The goal of my thesis is to determine under what circumstances can we embed a ring containing a given partially ordered set (poset) in the spectrum of a precompletion of a given complete local ring T."

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ID Label Size Mimetype Created
OBJ OBJ datastream * 672.26 KiB application/pdf 2022-05-29
TN TN 4.1 KiB image/jpeg 2022-05-29
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