When Is a Subcategory Serre or Torsion-Free?
When Is a Subcategory Serre or Torsion-Free?
Let R be a commutative noetherian ring. Denote by \operatorname{\mathsf{mod}}R the category of finitely generated R -modules. In the present paper, we first provide various sufficient (and necessary) conditions for a full subcategory of \operatorname{\mathsf{mod}}R to be a Serre subcategory, which include several refinements of theorems of Stanley and Wang …