Local rings of countable Cohen-Macaulay type
Authors:
Craig Huneke and Graham J. Leuschke
Journal:
Proc. Amer. Math. Soc. 131 (2003), 3003-3007
MSC (2000):
Primary 13C14; Secondary 13H10, 13C05
DOI:
https://doi.org/10.1090/S0002-9939-03-07167-3
Published electronically:
May 9, 2003
MathSciNet review:
1993205
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Abstract | References | Similar Articles | Additional Information
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.
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Additional Information
Craig Huneke
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Email:
huneke@math.ukans.edu
Graham J. Leuschke
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Email:
gleuschke@math.ukans.edu
DOI:
https://doi.org/10.1090/S0002-9939-03-07167-3
Keywords:
Maximal Cohen--Macaulay modules,
CM representation type,
countable CM type
Received by editor(s):
May 10, 2002
Published electronically:
May 9, 2003
Additional Notes:
Both authors were supported by the National Science Foundation
Communicated by:
Bernd Ulrich
Article copyright:
© Copyright 2003
American Mathematical Society
