A Unified Approach to Local Cohomology Modules Using Serre Classes

TL;DR

This paper explores the relationship between local cohomology modules and Serre classes of modules, providing a unified framework that consolidates various existing results in the literature.

Contribution

It introduces a unified approach to studying local cohomology modules through Serre classes, offering a common language for multiple prior results.

Findings

Established connections between local cohomology and Serre classes

Unified various results into a common framework

Enhanced understanding of module-theoretic properties

Abstract

This paper discusses the connection between the local cohomology modules and the Serre classes of $R$-modules. Such connection provided a common language for expressing some results about the local cohomology $R$-modules, that has appeared in different papers.