Abstract
AbstractFor any ringR, we show that, in the bounded derived categoryDb(ModR) of leftR-modules, the subcategory of complexes with finite Gorenstein projective (resp. injective) dimension modulo the subcategory of complexes with finite projective (resp. injective) dimension is equivalent to the stable category(resp.) of Gorenstein projective (resp. injective) modules. As a consequence, we get that ifRis a left and right noetherian ring admitting a dualizing complex, thenandare equivalent.
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