A module is defined to be an automorphism-invariant module if it is invariant under
automorphisms of its injective hull. Quasi-injective modules and, more generally, pseudo …

Let M and N be two modules. M is called automorphism N-invariant if for any essential
submodule A of N, any essential monomorphism f: A→ M can be extended to some g∈ Hom …

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

A module M is called an automorphism-invariant module if every isomorphism between two
essential submodules of M extends to an automorphism of M. This paper introduces the …

It is proved, among other results, that a prime right nonsingular ring (in particular, a simple
ring) R is right self-injective if RR is invariant under automorphisms of its injective hull. This …

Full article: A NOTE ON PSEUDO-INJECTIVE MODULES Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

A module is called automorphism-invariant if it is invariant under any automorphism of its
injective hull. In [Algebras for which every indecomposable right module is invariant in its …

A right R-module M is called quasi-principally injective if every homomorphism from an M-
cyclic submodule of M to M can be extended to M. Let M be a quasi-principally injective …

Y. Utumi (14 and 15) obtained some interesting results on self-injective rings. He showed
that, if R is right self-injective, then so is R/J, where J is the Jacobson radical of R. Also, if R …

Projective modules over the endomorphism ring of a biuniform module - ScienceDirect Skip
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