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 …

Let Λ be an artin algebra over a local commutative artinian ring k. We consider the category
P (Λ) whose objects are morphims f: P→ Q with P and Q projective left Λ-modules. In P (Λ) …

Abstract A right R-module N is called GP-flat if for any a∈ R, there exists a positive integer n
(depending on a) such that the sequence 0→ N⊗ Ran→ N⊗ R is exact. A left R-module M is …

(n,d)-(Ext)- phantom 态射与(n,d)-环* Page 1 第63 卷第1 期 2024 年1 月 Vol. 63 No. 1 Jan.
2024 中山大学学报(自然科学版)(中英文) ACTA SCIENTIARUM NATURALIUM UNIVERSITATIS …

Let $ R $ be a ring. An $ R $-module $ M $ is said to be a weak $ w $-projective module if
${\rm Ext} _R^ 1 (M, N)= 0$ for all $ N\in\mathcal {P} _ {w}^{\dagger_\infty} $(see,\cite {FLQ}) …

An $ R $-module $ M $ is called torsion-free, if $ rx= 0$ for $ r\in R $ and $ x\in M $ implies
that $ r= 0$ or $ x= 0$. In this paper, we introduce the notions semi torsion-free modules and …

We say that a ring R is a right RDV-ring if each simple right R-module is RD-injective. In this
paper, we study the notion of RDV-rings which is a non-trivial generalization of V-rings and …

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 …

Let M be a right R− module. A right R− module N is called small pseudo principally M−
injective (briefly, small PP M−− injective) if, every R− monomorphism from a small and …