A NOTE ON AUTOMORPHISM LIFTABLE MODULES

Abstract

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.

Keywords

• Automorphism liftable module,dual automorphism-invariant mod- ule,perfect ring

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