ScholarLens Back to search
2012•Bulletin of the Korean Mathematical SocietyOpen access

ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN

Eun-Kyung Lee, Mi-Hee Park

Open full text 2 citations

Abstract

Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $R\leq2$ , then A is a graded Noetherian domain with h-dim $A\leq2$ . This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\leq2$ is also a Noetherian domain with dimension $\leq2$ .

Open-access reader

About this research paper

What this paper is about

Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $R\leq2$ , then A is a graded Noetherian domain with h-dim $A\leq2$ . This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\leq2$ is also a Noetherian domain with dimension $\leq2$ .

Why it matters

OpenAlex reports 2 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

Let R be a graded Noetherian domain and A a graded Krull overring of R. We show that if h-dim $R\leq2$ , then A is a graded Noetherian domain with h-dim $A\leq2$ . This is a generalization of the well-know theorem that a Krull overring of a Noetherian domain with dimension $\leq2$ is also a Noetherian domain with dimension $\leq2$ .

Key concepts: Noetherian, Krull dimension, Mathematics, Global dimension, Domain (mathematical analysis), Pure mathematics, Generalization, Dimension (graph theory)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
ON GRADED KRULL OVERRINGS OF A GRADED NOETHERIAN DOMAIN — Research Paper | ScholarLens