Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598193 | Journal of Pure and Applied Algebra | 2006 | 10 Pages |
Abstract
Let (R,m)(R,m) be a Noetherian local ring of depth dd and CC a semidualizing RR-complex. Let MM be a finite RR-module and tt an integer between 0 and dd. If the GCGC-dimension of M/aMM/aM is finite for all ideals aa generated by an RR-regular sequence of length at most d−td−t then either the GCGC-dimension of MM is at most tt or CC is a dualizing complex. Analogous results for other homological dimensions are also given.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Shokrollah Salarian, Sean Sather-Wagstaff, Siamak Yassemi,