2004Colloquium MathematicumOpen access

A new version of Local-Global Principle for annihilations of local cohomology modules

Kazem Khashyarmanesh, M. Yassi, Ahmad Abbasi

Open full text 6 citations

Abstract

Let $R$ be a commutative Noetherian ring. Let $\mathfrak a$ and $\mathfrak b$ be ideals of $R$ and let $N$ be a finitely generated $R$-module. We introduce a generalization of the $\mathfrak b$-finiteness dimension of $f^{\mathfrak b}_{\mathfrak a}(N)$ re

Open-access reader

About this research paper

What this paper is about

Let $R$ be a commutative Noetherian ring. Let $\mathfrak a$ and $\mathfrak b$ be ideals of $R$ and let $N$ be a finitely generated $R$-module. We introduce a generalization of the $\mathfrak b$-finiteness dimension of $f^{\mathfrak b}_{\mathfrak a}(N)$ re

Why it matters

OpenAlex reports 6 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 commutative Noetherian ring. Let $\mathfrak a$ and $\mathfrak b$ be ideals of $R$ and let $N$ be a finitely generated $R$-module. We introduce a generalization of the $\mathfrak b$-finiteness dimension of $f^{\mathfrak b}_{\mathfrak a}(N)$ re

Key concepts: Mathematics, Local cohomology, Noetherian ring, Noetherian, Global dimension, Generalization, Dimension (graph theory), Local ring

Related papers

Back to paper searchBrowse research topicsOriginal source
A new version of Local-Global Principle for annihilations of local cohomology modules — Research Paper | ScholarLens