An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

Let (𝒯, ℱ) be a hereditary torsion theory for A ℳ, the category of left A-modules. In this paper
the property that the torsionfree class ℱ be closed under homomorphic images is …

Let A and B be modules, which are faithfully flat over their endomorphism ring. The
categories of A-solvable and B-solvable modules coincide if and only if A and B are similar …

Comparisons Between Annihilators of Tor and Ext | Acta Mathematica Vietnamica Skip to main
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Finally, let B and 8 be two rings, let 9 be a full subcategory of left R-modules closed under
direct sums and factor modules, let be a full subcategory of left S-modules containing ss and …

Let ${P_R} $ be a projective module with trace ideal $ T $. An $ R $-module ${X_R} $ is $ T
$-accessible if $ XT= X.{\text {If}}{P_R} $ is finitely generated projective and $ C $ is the $ R …

Let τ be a hereditary torsion theory. The purpose of this paper is to extend results about
singular (resp. nonsingular) modules to τ-singular (resp. τ-nonsigular) modules. An R …

In this note we examine the 𝒯-torsion submodule of quasi-injective R-modules, R a ring with
unit, where 𝒯 is a torsion class in the sense of SE Dickson. We show that for a stable torsion …

In this paper, we investigate the finiteness of Ext-indices for certain ring extensions. In this
direction, we introduce some conjectures and discuss the relationships among them. We …

A right module M is called semi-projective if for every epimorphism α from M to a submodule
N of M and a homomorphism β from M to N, there exists a homomorphism γ from M to M with …