摘要

In this note, it is proven that if R is a right noetherian ring with id(R)o R < infinity and ExtR(i >= 1) (M, F) = 0 for any left R-module F with finite flat dimension, then M is Gorenstein projective; if R is a left noetherian ring with id(R)R < infinity and M is a Gorenstein projective left R-module, then ExtR(i >= 1), (M, F) = 0 for any left R-module F with finite flat dimension.

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