Let n≥ 1 be an integer. We introduce the notions of n-FP-gr-injective and n-gr-flat modules.
Then we investigate the properties of these modules by using the properties of special …

We show that an N-complex of modules C is FP-injective if and only if C is N-exact and Z ni
(C) is an FP-injective module for each i= 1, 2,⋯, N and each n∈ Z by virtue of Gaussian …

An R-module M is called strongly FP-injective if Ext R i (P, M)= 0 for any finitely presented R-
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …

This is a study of Ding projective modules relative to a semidualizing module and related
topics. Firstly, we study DC-projective dimensions and DC-projective modules under change …

In this paper, we introduce two new classes of modules called SFI-injective and SFI-flat
modules, we give their characterizations and we study the effect of these classes over exact …

Let $ R $ be a Noetherian ring and let $ C $ be a semidualizing $ R $-module. In this paper,
we are concerned with the tensor and torsion product of $ C $-injective modules. Firstly, it is …

In this work, we prove that an R-module M is cofinitely δ-supplemented (ie each cofinite
submodule of M has a δ-supplement) if and only if every maximal submodule of M has a δ …

Rad-injective and Almost-injective Modules and Rings Page 1 Algebra Colloquium c© 2011
AMSS CAS & SUZHOU UNIV Algebra Colloquium 18 : 3 (2011) 411–418 Rad-injective and …

In this paper, several characterizations of semi-compact modules are given. Among other
results, we study rings whose semi-compact modules are injective. We introduce the …

For right R-modules M and N, if every monomorphism from a fully invariant M-cyclic
submodule s (M) of M to N can be extended to a homomorphism from M to N, then N is …