# Auslander Modules

## TL;DR

This paper introduces Auslander modules, inspired by Auslander's zero-divisor conjecture, and explores their properties along with torsion-free modules, contributing new theoretical insights to module theory.

## Contribution

It defines Auslander modules and provides initial results, extending Auslander's conjecture to module theory and analyzing torsion-free modules.

## Key findings

- Introduction of Auslander modules with foundational properties
- Results connecting Auslander modules to Auslander's conjecture
- Analysis of torsion-free modules within this framework

## Abstract

In this paper, we introduce the notion of Auslander modules, inspired from Auslander's zero-divisor conjecture (theorem) and give some interesting results for these modules. We also investigate torsion-free modules.