Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772030 | Journal of Algebra | 2017 | 20 Pages |
Abstract
Let A be a Cohen-Macaulay normal domain. A non-commutative crepant resolution (NCCR) of A is an A-algebra Î of the form Î=EndA(M), where M is a reflexive A-module, Î is maximal Cohen-Macaulay as an A-module and gldim(Î)P=dimâ¡AP for all primes P of A. We give bountiful examples of equi-characteristic Cohen-Macaulay normal local domains and mixed characteristic Cohen-Macaulay normal local domains having NCCR. We also give plentiful examples of affine Cohen-Macaulay normal domains having NCCR.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tony J. Puthenpurakal,