# Some homological properties of ideals with cohomological dimension one

## TL;DR

This paper investigates the homological properties of ideals in commutative Noetherian rings that have cohomological dimension one, providing new theoretical insights into their structure.

## Contribution

It presents new results on the homological behavior of ideals with cohomological dimension one in Noetherian rings, expanding understanding of their properties.

## Key findings

- Characterization of homological properties of such ideals
- Results on vanishing of certain cohomology modules
- Theoretical insights into ideal structure

## Abstract

Let R denote a commutative Noetherian ring and let I be an ideal of R such that H_i^I(R) = 0, for all integers i greater than or equal to 2. In this paper we shall prove some results concerning the homological properties of I.