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The existence of finitely generated modules of finite Gorenstein injective dimension |
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| Authors: | Ryo Takahashi |
| Affiliation: | Department of Mathematics, Faculty of Science, Okayama University, 1-1, Naka 3-chome, Tsushima, Okayama 700-8530, Japan |
| 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. |
| Keywords: | G-injective dimension (Gorenstein injective dimension) G-dimension (Gorenstein dimension). |
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