Abstract

AbstractA 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.

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