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On the existence of certain modules of finite Gorenstein homological dimensions
Published 22 Nov 2012 in math.AC | (1211.5268v1)
Abstract: Let (R,m) be a commutative Noetherian local ring. It is known that R is Cohen-Macaulay if there exists either a nonzero finitely generated R-module of finite injective dimension or a nonzero Cohen-Macaulay R-module of finite projective dimension. In this paper, we investigate the Gorenstein analogues of these facts.
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