The aim of this paper is to reveal the relationship between the proper class generated
projectively by g-semiartinian modules and the subprojectivity domains of g-semiartinian …

Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

In this paper, the notions of f-injective and f*-injective modules are introduced. Elementary
properties of these modules are given. For instance, a ring R is coherent iff any ultraproduct …

Let S and R be rings and SCR a semidualizing bimodule. We define and study GC-FP-
injective R-modules, and these modules are exactly C-Gorenstein injective R-modules …

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 …

Let R be a commutative ring with nonzero identity and M be an R-module. In this paper, we
introduce the concept of r-Artinian modules which is a new generalization of Artinian …

In this paper, the notion of strongly G_C-projective and injective modules is introduced,
where C is a semidualizing module. Using these modules we can obtain a new …

Let S and R be two associative rings, SCR be a faithfully balanced (S, R)-bimodule. We
introduce and investigate properties of∞-torsionfree modules with respect to SCR, which …