Let 𝒜 be an abelian category having enough projective and injective objects, and let 𝒯 be
an additive subcategory of 𝒜 closed under direct summands. A known assertion is that in a …

We introduce relative preresolving subcategories and precoresolving subcategories of an
abelian category and define homological dimensions and codimensions relative to these …

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 S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

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, S be arbitrary associative rings and RCS a semidualizing bimodule. We give some
equivalent characterizations for R being left coherent (and right perfect) rings, left …

Let A be an abelian category, C an additive, full and self-orthogonal subcategory of A closed
under direct summands, r G (C) the right Gorenstein subcategory of A relative to C, and⊥ C …

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 …

Mathematics | Free Full-Text | Finitistic Homological Dimensions Relative to Subcategories Next
Article in Journal On the stability of radical septic functional equations Previous Article in Journal …

Let $ R $ be a left coherent ring and $ S $ a right coherent ring, and let $ _RC_S $ be a
semidualizing bimodule. We show that the class $\mathcal {T} _C (R) $ of finitely presented …