Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597239 | Journal of Pure and Applied Algebra | 2010 | 8 Pages |
Abstract
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings is to find resolution-free characterizations of the modules for which these invariants are finite. Over local rings, this problem was recently solved for the Gorenstein flat and the Gorenstein projective dimensions; here we give a solution for the Gorenstein injective dimension. Moreover, we establish two formulas for the Gorenstein injective dimension of modules in terms of the depth invariant; they extend formulas for the injective dimension due to Bass and Chouinard.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lars Winther Christensen, Sean Sather-Wagstaff,