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On the existence of certain modules of finite Gorenstein homological dimensions

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 نشر من قبل Kamran Divaani-Aazar
 تاريخ النشر 2012
  مجال البحث
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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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