Finite Cohen-Macaulay type and smooth non-commutative schemes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 AS Cohen-Macaulay algebra which is FBN and has finite Cohen-Macaulay type, then the non-commutative projective scheme determined by A is smooth.
14 pages

Keywords

Rings and Algebras, 14A22, 16E65, 16W50

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/74993

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0504468
 http://arxiv.org/abs/math/0504468

Collections

arXiv