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 …

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 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 …

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 …

A module M is called automorphism-invariant if it is invariant under automorphisms of its
injective envelope. In this paper, we study the endomorphism rings of automorphism …

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 …

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 …