# Tilting Modules Over Gorensetein $T_n^d$-Injective Gorensetein $T_n^d$-flat Modules

## TL;DR

This paper investigates the properties of relative Gorenstein projective and injective modules in the context of tilting modules over certain Gorenstein rings, expanding understanding of their homological behavior.

## Contribution

It introduces new results on Gorenstein modules relative to tilting modules over Gorenstein rings, highlighting their structure and properties.

## Key findings

- Characterization of Gorenstein projective modules relative to tilting modules
- Analysis of Gorenstein injective modules in the same context
- New criteria for module classification based on Gorenstein properties

## Abstract

Let T be a tilting module.In this paper, some relative Gorenstein projective and Gortenstein injective modules are studied.