Local rings of countable cohen-macaulay type

Craig Huneke; Graham J. Leuschke

doi:10.1090/S0002-9939-03-07167-3

Local rings of countable cohen-macaulay type

Craig Huneke, Graham J. Leuschke

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

6 Scopus citations

Abstract

We prove (the excellent case of) Schreyer's conjecture that a local ring with countable CM type has at most a one-dimensional singular locus. Furthermore, we prove that the localization of a Cohen-Macaulay local ring of countable CM type is again of countable CM type.

Original language	English (US)
Pages (from-to)	3003-3007
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	131
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-03-07167-3
State	Published - Oct 2003
Externally published	Yes

Keywords

Cm representation type
Countable cm type
Maximal cohen-macaulay modules

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-03-07167-3

Cite this

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title = "Local rings of countable cohen-macaulay type",

abstract = "We prove (the excellent case of) Schreyer's conjecture that a local ring with countable CM type has at most a one-dimensional singular locus. Furthermore, we prove that the localization of a Cohen-Macaulay local ring of countable CM type is again of countable CM type.",

keywords = "Cm representation type, Countable cm type, Maximal cohen-macaulay modules",

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KW - Cm representation type

KW - Countable cm type

KW - Maximal cohen-macaulay modules

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Local rings of countable cohen-macaulay type

Abstract

Keywords

ASJC Scopus subject areas

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