A NOTE ON AUTOMORPHISM LIFTABLE MODULES

Year 2019, Volume: 26 Issue: 26, 111 - 121, 11.07.2019

S. Santhakumar

https://doi.org/10.24330/ieja.587002

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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