Characteristic submodules of injective modules over strongly prime rings Page 1 DOI
10.1515/dma-2014-0022 Discrete Math. Appl. 2014; 24 (4):253–256 Askar A. Tuganbaev …

Let R be a ring and 𝑆 be a class of some finitely generated left R-modules. Then a left R-
module M is called 𝑆-projective if for every homomorphism f: S→ M, where S∈ 𝑆, there exist …

Throughout this paper R will denote a ring with idenity element and M a unitary right module
over R. An R-module M is said to be direct injective if and only if given direct summand N of …

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 …

Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective if every right R-homomorphism from an n-generated submodule of Rm to M extends …

Automorphism-invariant modules Page 30 Contemporary Mathematics Volume 634, 2015
http://dx. doi. org/10.1090/conm/634/12688 Automorphism-Invariant Modules Pedro A. Guil …

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 …

Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …

This paper continues the study of an R-module M through properties of the category a [M] of
submodules of M-generated modules. It is shown that a self-projective M is locally artinian if …

Let R be a ring and ℒ a class of R-modules. An R-module N is called ℒ-injective if for all L∈
ℒ. An ℒ-injective hull of an R-module M is defined to be a homomorphism φ: M→ F with F ℒ …