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Ascent of Finite Cohen–Macaulay Type

✍ Scribed by Graham Leuschke; Roger Wiegand

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
98 KB
Volume
228
Category
Article
ISSN
0021-8693

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✦ Synopsis

In 1987 F.-O. Schreyer conjectured that a local ring R has finite Cohen-Macaulay type if and only if the completion R has finite Cohen-Macaulay type. We prove the conjecture for excellent Cohen-Macaulay local rings and also show by example that it can fail in general.

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