On the Finiteness Dimension of Local Cohomology Modules

Research

Title	On the Finiteness Dimension of Local Cohomology Modules
Type	JournalPaper
Keywords	local cohomology modules,cofinite modules, finiteness dimension
Year	2014
Journal	ALGEBRA COLLOQUIUM
DOI
Researchers	Hero Saremi ، Amir Mafi

Abstract

\begin{abstract} Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$, and $M$ a non-zero finitely generated $R$-module. Let $t$ be a non-negative integer. It is shown that $\Dim\Supp H_{\fa}^i(M)\leq 1$ for all $i

Amir Mafi

Research

Abstract