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• W2317332611 abstract "Let R → S be a ring homomorphism. We consider the relationships of the Gorenstein dimensions of an R-complex X (possibly unbounded) with those of the S-complexes RHom R (S, X) and . More generally, the Gorenstein injective dimension of RHom R (U, X) is considered where U is an S-complex with finite projective dimension. As an application, it is shown that if R is a local noetherian ring, then a complex X of R-modules has finite Gorenstein projective dimension if and only if it has finite Gorenstein flat dimension if and only if belongs to the Auslander category . This gives a resolution-free characterizations of complexes for which their Gorenstein projective dimensions are finite." @default.
• W2317332611 created "2016-06-24" @default.
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• W2317332611 date "2014-04-04" @default.
• W2317332611 modified "2023-10-16" @default.
• W2317332611 title "Transfer of Gorenstein Dimensions of Unbounded Complexes Along Ring Homomorphisms" @default.
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• W2317332611 doi "https://doi.org/10.1080/00927872.2013.783039" @default.
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