The existence of finitely generated modules of finite Gorenstein injective dimension

2005/06/13 by Ryo Takahashi, Takahashi, Ryo
Mathematics · #13D05 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D05 #msc:13H10

paper · pdf · doi:10.48550/arxiv.math/0506237

6 pages, to appear in Proc. Amer. Math. Soc

arxiv created 2005/06/13 · arxiv updated 2009/12/01

Abstract

In this note, we study commutative Noetherian local rings having finitely generated modules of finite Gorenstein injective dimension. In particular, we consider whether such rings are Cohen-Macaulay.

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