Article ID Journal Published Year Pages File Type
4598193 Journal of Pure and Applied Algebra 2006 10 Pages PDF
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
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