Let R and S be rings and RωS a semidualizing bimodule. We introduce and study the
adjoint cotransposes of modules and adjoint n-ω-cotorsionfree modules. We show that the …

Let R and S be rings, and let R ω S be a semidualizing bimodule. We prove that there exists
a Morita equivalence between the class of∞-ω-cotorsion-free modules and a subclass of the …

We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …

Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

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 …

Let $ R $ and $ S $ be rings and $ _S\omega_R $ a semidualizing bimodule. For a subclass
$\mathcal {T} $ of the class of $\omega $-coreflexive modules and $ n\geq 1$, we introduce …

For a ring R and an additive subcategory CC of the category Mod\nolimits R Mod R of left R-
modules, under some conditions, we prove that the right Gorenstein subcategory of …

Let R and S be rings and RωS a semidualizing bimodule. We investigate when the double
functor TorS i (ω, Exti R (ω,−)) preserves epimorphisms and the double functor Exti R (ω …

Let R and S be semiregular rings and U a semidualizing (R, S)-bimodule. We show that the
U-codominant dimensions of RU and US are identical. As an application, we get that the U …

Let R, S be arbitrary associative rings and C a semidualizing (R, S)-bimodule. For a
subcategory H (resp. T) of the category of left R-modules (resp. left S-modules), we introduce …