| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4597874 | Journal of Pure and Applied Algebra | 2007 | 12 Pages |
Abstract
Given a homomorphism of commutative noetherian rings R→SR→S and an SS-module NN, it is proved that the Gorenstein flat dimension of NN over RR, when finite, may be computed locally over SS. When, in addition, the homomorphism is local and NN is finitely generated over SS, the Gorenstein flat dimension equals sup{m∈Z∣TormR(E,N)≠0}, where EE is the injective hull of the residue field of RR. This result is analogous to a theorem of André on flat dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lars Winther Christensen, Srikanth Iyengar,