" The study of modules which are invariant under the action of certain subsets of the
endomorphism ring of their injective envelope can be drawn back to the pioneering work of …

The aim of this paper is to introduce a general setting where some well-known results on
essentially injective modules, automorphism-(co) invariant modules and small projective …

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 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 …

This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

In this paper we develop a general theory of modules which are invariant under
automorphisms of their covers and envelopes. When applied to specific cases like injective …

In this paper we study modules coinvariant under automorphisms of their projective covers.
We first provide an alternative, and in fact, a more succinct and conceptual proof for the …

A module is called automorphism-invariant if it is invariant under any automorphism of its
injective hull. Dickson and Fuller have shown that if R is a finite-dimensional algebra over a …

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 …