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 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 …

In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

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 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 …

1. Introduction Throughout this paper, all rings are associative rings with units. For a ring R, we
use Mod R to denote the cate Page 1 EXTENSION CLOSURE OF ADJOINT COTORSIONFREE …

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Article in Journal On the stability of radical septic functional equations Previous Article in Journal …