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Let be a commutative noetherian ring. Denote by the category of finitely generated -modules. Let be a subset of , and let stand for the full subcategory of consisting of finitely generated -modules whose associated prime ideals belong to . In this paper, we consider classifying torsion pairs in and some other full subcategories of .

生成讲解博客的中文版本

生成AI智能校验的中文版本