Abstract A right R-module M is called kernel-invariant if the kernels of all endomorphisms of
M are invariant under all automorphisms of M, and R is called rightkernel-invariant if RR is …

Automorphism-invariant modules, due to Lee and Zhou, generalize the notion of quasi-
injective modules. A module which is invariant under automorphisms of its injective hull is …

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 …

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 …

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 …

The paper contains both known and new results on automorphism-invariant modules,
automorphism-coinvariant modules and modules which are invariant or coinvariant with …

In this paper we prove that a module M is invariant under automorphisms of its X-envelope if
and only if M is invariant under monomorphisms of its X-envelope where X is an enveloping …

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 …

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 …

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 …