Title of article :
A NOTE ON AUTOMORPHISM LIFTABLE MODULES
Author/Authors :
Santhakumar, S Department of Mathematics - Amrita School of Engineering - Coimbatore Amrita Vishwa Vidyapeetham, India
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 automorphism liftable modules are investigated. Also, characterization for some
special rings such as perfect, semiperfect and uniserial are given by using automorphism liftable modules.
Keywords :
Automorphism liftable module , dual automorphism-invariant mod- ule , perfect ring
Journal title :
International Electronic Journal of Algebra
