Warfield proved that every injective module has the exchange property. This was
generalized by Fuchs who showed that quasi-injective modules satisfy the exchange …

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 …

An R-module M is said to be quasi-injective if every R-homomorphism a: S+ M, S a
submodule of M, is induced by an R-endomorphism of M. A well known result of Johnson …

Let R be a ring with identity element and M be a unitary left R-module. M is called quasi-
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …

1. Let R be a ring with identity not equal to zero. A right R-module is said to be quasi-
injective (pseudo-injective) if for every submodule N of M, every R-homomorphism (R …

Let $ _RM $ be a left $ R $-module such that ${\operatorname {Hom} _R}(M, U)\ne 0$ for
any nonzero submodule $ U $ of $ M $, let $ E (M) $ denote the injective hull of $ M $, and …

Classically, the Auslander–Bridger transpose finds its best applications in the well-known
setting of finitely presented modules over a semiperfect ring. We introduce a class of …

An R-module is called semi-endosimple if it has no proper fully invariant essential
submodules. For a quasi-projective retractable module MR we show that M is finitely …

In a recent paper, Aydoǧdu and López-Permouth have defined a module M to be N-
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …