A NOTE ON AUTOMORPHISM LIFTABLE MODULES

A module M is said to be an automorphism liftable module if for each submodule N of M, every automorphism of the quotient M=N can be lifted to an endomorphism of M. In this work, some properties of auto- morphism liftable modules are investigated. Also, characterization for some special rings such as perfect, semiperfect and uniserial are given by using au- tomorphism liftable modules.