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n - gr -coherent rings and Gorenstein graded modules

Mostafa AminiDriss BennisSoumia Mamdouhi — 2022

Czechoslovak Mathematical Journal

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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