The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …

A ring R is said to be left pure-hereditary (resp. RD-hereditary) if every left ideal of R is pure-
projective (resp. RD-projective). In this paper, some properties and examples of these rings …

Let R be a ring and M a right R-module. M is called n-FP-projective if Ext 1 (M, N)= 0 for any
right R-module N of FP-injective dimension≤ n, where n is a nonnegative integer or n=∞. ν …

Homological dimensions of special modules over formal triangular matrix rings Page 1
Journal of Algebra and Its Applications Vol. 21, No. 7 (2022) 2250146 (14 pages) c© World …

We show that over a right coherent left perfect ring R, a complex C of left R-modules is
Gorenstein projective if and only if C m is Gorenstein projective in R-Mod for all m∈ ℤ …

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) …

Let R be a ring and let S be a multiplicative subset of R. An R‐module M is said to be au‐S‐
absolutely pure module if Ext R 1 N, M is u‐S‐torsion for any finitely presented R‐module N …

In this paper, we introduce the concept of nonnil-FP-injective dimension for both modules
and rings. We explore the characterization of strongly ϕ-rings that have a nonnil-FP-injective …

NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES 1. Introduction
Throughout this paper, all rings are associative with id Page 1 February 17, 2006 17:49 …

Given a cotorsion pair (,) in an abelian category, we define cotorsion pairs (, dg) and (dg,) in
the category< sub> N() of N-complexes on. We prove that if the cotorsion pair (,) is complete …