- International Electronic Journal of Algebra
- Vol: 26 Issue: 26
- A NOTE ON AUTOMORPHISM LIFTABLE MODULES
A NOTE ON AUTOMORPHISM LIFTABLE MODULES
Authors : S. Santhakumar
Pages : 111-121
Doi:10.24330/ieja.587002
View : 11 | Download : 7
Publication Date : 2019-07-11
Article Type : Research
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