A NOTE ON AUTOMORPHISM LIFTABLE MODULES

Authors : S SANTHAKUMAR

Pages : 111-121

Doi:10.24330/ieja.587002

View : 16 | Download : 15

Publication Date : 2019-07-11

Article Type : Research Paper

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