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On the Grade of Modules Over Noetherian Rings

On the Grade of Modules Over Noetherian Rings

Let Λ be a left and right noetherian ring and mod Λ the category of finitely generated left Λ-modules. In this article, we show the following results. (1) For a positive integer k, the condition that the subcategory of mod Λ consisting of i-torsionfree modules coincides with the subcategory of …