In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …

Let R be a commutative ring. If the nilpotent radical N il (R) of R is a divided prime ideal, then
R is called a ϕ-ring. In this paper, we first distinguish the classes of nonnil-coherent rings …

Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …

Let R be a left coherent ring. We first prove that a right R-module M is strongly copure flat if
and only if Ext i (M, C)= 0 for all flat cotorsion right R-modules C and i≥ 1. Then we define …

We establish equivalent conditions under which every object in an Abelian category has a
monic X-cover and an epic X-envelope respectively, when X is a class of objects closed …

Let R be a ring and ℒ a class of R-modules. An R-module N is called ℒ-injective if for all L∈
ℒ. An ℒ-injective hull of an R-module M is defined to be a homomorphism φ: M→ F with F ℒ …

n-余纯Gorenstein AC模 Page 1 山东大学学报(理学版)2024年6月第59卷第6期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University(Natural Science)ꎬ Vol.59ꎬ No.6ꎬ 2024 http:∥lxbwk.njournal.sdu.edu.cn …

Let R be a ring. A left R-module M is called GI-injective if for any Gorenstein injective left R-
module N. It is shown that a left R-module M over any ring R is GI-injective if and only if M is …