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- W2950664892 abstract "Given a homomorphism of commutative noetherian rings R --> S and an S-module N, it is proved that the Gorenstein flat dimension of N over R, when finite, may be computed locally over S. When, in addition, the homomorphism is local and N is finitely generated over S, the Gorenstein flat dimension equals sup{m | Tor^R_m(E,N) noteq 0} where E is the injective hull of the residue field of R. This result is analogous to a theorem of Andr'e on flat dimension." @default.
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- W2950664892 date "2005-04-16" @default.
- W2950664892 modified "2023-09-27" @default.
- W2950664892 title "Gorenstein dimension of modules over homomorphisms" @default.
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