A submoduleA of amodule M is said to be strongly pure, if for each finite subset {ai} in
A,(equivalently, for each a∈ A) there exists ahomomorphism f: M→ A such that f (ai)= ai,∀ i …

In this Article we introduce and study a new module which is called n-dual-Square free
modules (n-DSF for a short) and is de_ned as: For a ring R and a positive integer n, an R …

This paper is about QI-modules M and the full subcategory σ [M] of Mod-R subgenerated by
M. A ring R is a right QI-ring if every quasi-injective right R-module is injective. The module …

A ring extension is a ring homomorphism preserving identities. In this article, we establish
the relationship among relatively flat modules, relatively projective modules and relatively …

The main goal of this paper is to dualize the two concepts St-closed submodule and semi-
extending module which were given by Ahmed and Abbas in 2015. These dualizations are …

Thuyet and Wisbauer considered the extending property for the class of (essentially) finitely
generated submodules. A module M is called ef-extending if every closed submodule which …

In this paper we study modules with the WFI+-extending property. We prove that if M satisfies
the WFI+-extending, pseudo duo properties and M/(Soc M) has finite uniform dimension then …

Absolutely E-pure modules and E-pure split modules Page 1 Acta Mathematica Scientia
2011,31B(1):207–220 http://actams.wipm.ac.cn ABSOLUTELY E-PURE MODULES AND E-PURE …

Let R be a ring. A left R-module M (respectively right R-module N) is called FI-injective
(respectively FI-flat) if Ext1 (G, M)= 0 (respectively Tor1 (N, G)= 0) for any FP-injective left R …

Let R be any ring with identity, and let M be a unitary left R-module. A submodule K of M is
called generalized coessential submodule of N in M, if (N)/K⊆[Rad] _g (M/K). A module M is …