[HTML][HTML] Automorphism-invariant modules satisfy the exchange property
PAG Asensio, AK Srivastava - Journal of Algebra, 2013 - Elsevier
Warfield proved that every injective module has the exchange property. This was
generalized by Fuchs who showed that quasi-injective modules satisfy the exchange …
generalized by Fuchs who showed that quasi-injective modules satisfy the exchange …
Extending modules which are direct sums of injective modules and semisimple modules
C Santa-Clara, PF Smith - Communications in Algebra, 1996 - Taylor & Francis
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 …
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …
A note on quasi-injective modules
B De La Rosa, G Viljoen - Communications in Algebra, 1987 - Taylor & Francis
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 …
submodule of M, is induced by an R-endomorphism of M. A well known result of Johnson …
[PDF][PDF] Note on quasi-injective modules
M Harada - 1965 - projecteuclid.org
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 …
injective if every element in Hom^ Af, M) for any R-module N in M is extened to an element in …
[PDF][PDF] QUASI-INJECTIVE AND PSEUDO-INJECTIVE
SK JAIN, S SINGH - Canad. Math. Bull, 1975 - people.ohio.edu
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 …
injective (pseudo-injective) if for every submodule N of M, every R-homomorphism (R …
Modules whose endomorphism rings have isomorphic maximal left and right quotient rings
SM Khuri - Proceedings of the American Mathematical Society, 1982 - ams.org
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 …
any nonzero submodule $ U $ of $ M $, let $ E (M) $ denote the injective hull of $ M $, and …
Auslander–Bridger modules
A Facchini, N Girardi - Communications in Algebra, 2012 - Taylor & Francis
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 …
setting of finitely presented modules over a semiperfect ring. We introduce a class of …
[PDF][PDF] Semi-Endosimple Modules and Some Applications
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 …
submodules. For a quasi-projective retractable module MR we show that M is finitely …
[HTML][HTML] Rings and modules characterized by opposites of injectivity
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 …
subinjective if every homomorphism N→ M extends to some E (N)→ M, where E (N) is the …