# Automorphism-Liftable Modules

## TL;DR

This paper characterizes automorphism-liftable modules over certain classes of non-commutative rings, providing a comprehensive description of torsion and non-torsion cases in these algebraic structures.

## Contribution

It offers a complete classification of automorphism-liftable torsion modules over non-primitive hereditary Noetherian prime rings and explores non-torsion modules over Dedekind prime rings.

## Key findings

- Classification of automorphism-liftable torsion modules over specific rings
- Analysis of automorphism-liftable non-torsion modules in Dedekind prime rings
- Extension of automorphism-liftability concepts to non-commutative algebraic structures

## Abstract

In this paper, we describe all automorphism-liftable torsion modules over non-primitive hereditary Noetherian prime rings. We also study automorphism-liftable non-torsion modules over not necessarily commutative Dedekind prime rings