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n-gr-coherent rings and Gorenstein graded modules |
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| Authors: | Amini Mostafa Bennis Driss Mamdouhi Soumia |
| Institution: | 1.Department of Mathematics, Faculty of Sciences, Payame Noor University, Nakhl St, Lashkarak Highway, Tehran, Iran ;2.Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat, B.P. 8007, Nations-Unies, Avenue des Nations Unies, Agdal, Rabat, Morocco ; |
| Abstract: | Let R be a graded ring and n ? 1 be an integer. We introduce and study the notions of Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules by using the notion of special finitely presented graded modules. On n-gr-coherent rings, we investigate the relationships between Gorenstein n-FP-gr-injective and Gorenstein n-gr-flat modules. Among other results, we prove that any graded module in R-gr (or gr-R) admits a Gorenstein n-FP-gr-injective (or Gorenstein n-gr-flat) cover and preenvelope, respectively. |
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