For a finitely generated module M over a commutative Noetherian ring R, we settle the
Auslander–Reiten conjecture when at least one of Hom R (M, R) and Hom R (M, M) has …

Let $(R,\fm) $ be a local ring, and let $ C $ be a semidualizing complex. We establish the
equality $ r_R (Z)=\nu (\Ext^{g-\inf C} _R (Z, C))\mu^{\depth C} _R (\mathfrak {m}, C) $ for a …