Cominimaxness properties of formal local cohomology modules

TL;DR

This paper investigates the cominimaxness properties of formal local cohomology modules over local rings, providing new results that deepen understanding of their structure and behavior.

Contribution

It introduces novel results on the cominimaxness of formal local cohomology modules, expanding the theoretical framework in local cohomology.

Findings

Established conditions for cominimaxness of formal local cohomology modules

Extended previous results to broader classes of modules and ideals

Provided new insights into the structure of local cohomology modules

Abstract

Let $\mathfrak{a}$ be an ideal of local ring $(R,\mathfrak{m})$ and $M$ a finitely generated $R$-module and $n\in\Bbb N$. It is shown that some results concerning cominimaxness of formal local cohomology modules.