Finite Cohen--Macaulay Type and Smooth Non-Commutative Schemes
نویسندگان
چکیده
منابع مشابه
Finite Cohen-macaulay Type and Smooth Non-commutative Schemes
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 FBN and has finite Cohen-Macaulay type, then the non-commutative projective scheme determined by A is smooth.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2008
ISSN: 1496-4279,0008-414X
DOI: 10.4153/cjm-2009-018-4