Ascent of Finite Cohen-Macaulay type

Graham Leuschke, Roger Wiegand

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In 1987 F.-O. Schreyer conjectured that a local ring R has finite Cohen-Macaulay type if and only if the completion R̂ 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.

Original languageEnglish (US)
Pages (from-to)674-681
Number of pages8
JournalJournal of Algebra
Volume228
Issue number2
DOIs
StatePublished - 2000

Keywords

  • Canonical module
  • Finite cohen-Macaulay type

ASJC Scopus subject areas

  • Algebra and Number Theory

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