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Lookup NU author(s): Professor Peter Jorgensen
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A commutative local Cohen-Macaulay ring R of finite Cohen-Macaulay type is known to be an isolated singularity; that is, Spec(R) \ {m} is smooth. This paper proves a non-commutative analogue. Namely, if A is a (non-commutative) graded Artin-Schelter Cohen-Macaulay algebra which is fully bounded Noetherian and has finite Cohen-Macaulay type, then the non-commutative projective scheme determined by A is smooth. ©Canadian Mathematical Society 2008.
Author(s): Jorgensen P
Publication type: Article
Publication status: Published
Journal: Canadian Journal of Mathematics
Year: 2008
Volume: 60
Issue: 2
Pages: 379-390
Print publication date: 01/04/2008
ISSN (print): 0008-414X
ISSN (electronic): 1496-4279
Publisher: University of Toronto Press
URL: http://dx.doi.org/10.4153/CJM-2008-018-0
DOI: 10.4153/CJM-2008-018-0
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