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- W2023922018 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 ∈ Z ∣ Tor m R ( E , N ) ≠ 0 } , where E is the injective hull of the residue field of R . This result is analogous to a theorem of André on flat dimension." @default.
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- W2023922018 title "Gorenstein dimension of modules over homomorphisms" @default.
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- W2023922018 doi "https://doi.org/10.1016/j.jpaa.2005.12.005" @default.
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