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 ring and n be a non-negative integer. In this paper, we introduce and study the
notions of Gorenstein n-weak injective and Gorenstein n-weak flat modules by using the …

We introduce and investigate ss-injectivity as a generalization of both soc-injectivity and
small injectivity. A module M is said to be ss-N-injective (where N is a module) if every R …

Let R be a ring. A right R-module M is said to be neat-flat if the kernel of any epimorphism Y-
> M is neat in Y, ie, the induced map Hom (S, Y)-> Hom (S, M) is surjective for any simple …

In this article, we characterize some rings in terms of the DG-projective, injective and flat
complexes. We also give some connections between DG-injective complexes and DG-flat …

In this paper we study M-small principally injective (in short, M-sp-injective) module which is
the generalization of M-principally injective module. We prove that if M is finite dimensional …

Given modules RM and AR, RM is said to be absolutely AR-pure if A⊗ M→ A⊗ B is a
monomorphism for every extension RB of RM. For a module AR, the absolutely pure domain …

ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …

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 …

Let R be an arbitrary ring. We introduce and study a generalization of injective and flat
complexes of modules, called weak injective and weak flat complexes of modules …