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- W2076752812 abstract "In this paper, we study Gorenstein projective and flat modules over a Noetherian ring R . For an R -module M , we show that Gorenstein projective dimension of M is finite if and only if Gorenstein flat dimension of M is finite provided the Krull dimension of R is finite. Moreover, in the case that R is local, we prove that Gorenstein projective dimension of an R -module M is finite if and only if R ˆ ⊗ R M belongs to the Auslander category of R ˆ ." @default.
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- W2076752812 date "2007-02-01" @default.
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- W2076752812 title "Gorenstein homological dimensions and Auslander categories" @default.
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- W2076752812 doi "https://doi.org/10.1016/j.jalgebra.2006.08.030" @default.
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