ScholarLens Back to search
1967•Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

A note on ideals of homological dimension one in local domains

Lindsay R. Burch

Open publisher page 5 citations

Abstract

In this Note I shall give a characterization of ideals of homological dimension one in a local domain, and deduce a result on ideals in a regular local ring of dimension two.

About this research paper

What this paper is about

In this Note I shall give a characterization of ideals of homological dimension one in a local domain, and deduce a result on ideals in a regular local ring of dimension two.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this Note I shall give a characterization of ideals of homological dimension one in a local domain, and deduce a result on ideals in a regular local ring of dimension two.

Key concepts: Global dimension, Dimension (graph theory), Mathematics, Local ring, Pure mathematics, Dimension theory (algebra), Characterization (materials science), Local cohomology

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
A note on ideals of homological dimension one in local domains — Research Paper | ScholarLens