Ascent of Finite Cohen-Macaulay type

Graham Leuschke; Roger Wiegand

doi:10.1006/jabr.2000.8294

Ascent of Finite Cohen-Macaulay type

Graham Leuschke, Roger Wiegand

Research output: Contribution to journal › Article › peer-review

21 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 language	English (US)
Pages (from-to)	674-681
Number of pages	8
Journal	Journal of Algebra
Volume	228
Issue number	2
DOIs	https://doi.org/10.1006/jabr.2000.8294
State	Published - 2000
Externally published	Yes

Keywords

Canonical module
Finite cohen-Macaulay type

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.2000.8294

Cite this

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title = "Ascent of Finite Cohen-Macaulay type",

abstract = "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.",

keywords = "Canonical module, Finite cohen-Macaulay type",

author = "Graham Leuschke and Roger Wiegand",

note = "Funding Information: 1The research of the second-named author was partially supported by the National Science Foundation.",

year = "2000",

doi = "10.1006/jabr.2000.8294",

language = "English (US)",

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pages = "674--681",

journal = "Journal of Algebra",

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T1 - Ascent of Finite Cohen-Macaulay type

AU - Leuschke, Graham

AU - Wiegand, Roger

N1 - Funding Information: 1The research of the second-named author was partially supported by the National Science Foundation.

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

KW - Canonical module

KW - Finite cohen-Macaulay type

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U2 - 10.1006/jabr.2000.8294

DO - 10.1006/jabr.2000.8294

M3 - Article

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VL - 228

SP - 674

EP - 681

JO - Journal of Algebra

JF - Journal of Algebra

IS - 2

ER -

Ascent of Finite Cohen-Macaulay type

Abstract

Keywords

ASJC Scopus subject areas

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