Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …

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 …

Shahabaddin Ebrahimi Atani, Mehdi Khoramdel, Saboura Dolati Pish Hesari C3-MODULES
Communicated by A. Romanowska 1. Introduction Page 1 DEMONSTRATIO MATHEMATICA …

Carl Faith in 2003 introduced and investigated an interesting class of rings over which every
cyclic right module has Σ-injective injective hull (abbr., right CSI-rings). Inspired by this we …

Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …

In this article, we introduce the notion of M-coidempotent elements of a ring and investigate
their connections with fully coidempotent modules, fully copure modules and vn-regular …

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, copure-injective modules is examined from an alternative perspective. For two
modules A and B, A is called B-subcopure-injective if for every copure monomorphism f: B→ …

We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …

Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …