[PDF][PDF] Homological Dimensions under Foxby Equivalence

YN Li, Z Huang - Preprint is available at: http://maths. nju. edu. cn …, 2023 - maths.nju.edu.cn
Let R and S be rings and RCS a semidualizing bimodule, and let T be a subcategory of the
Auslander class AC (S) and H={C⊗ ST| T∈ T}. Then for any left R-module M, the T …