Modules which are invariant under automorphisms of their injective hulls
Journal
Journal of Algebra and its Applications
Journal Volume
12
Journal Issue
2
Date Issued
2013
Author(s)
Zhou, Y.
Abstract
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-injective modules are all automorphism-invariant. Here we develop basic properties of these modules, and discuss when an automorphism-invariant module is quasi-injective or injective. Some known results on quasi-injective and pseudo-injective modules are extended.
Type
journal article