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Artinian Local Cohomology Modules

Published:2007-12-01
Printed: Dec 2007
• Keivan Borna Lorestani
• Parviz Sahandi
• Siamak Yassemi
 Format: HTML LaTeX MathJax PDF PostScript

Abstract

Let $R$ be a commutative Noetherian ring, $\fa$ an ideal of $R$ and $M$ a finitely generated $R$-module. Let $t$ be a non-negative integer. It is known that if the local cohomology module $\H^i_\fa(M)$ is finitely generated for all \$i
 Keywords: local cohomology module, Artinian module, reflexive module
 MSC Classifications: 13D45 - Local cohomology [See also 14B15] 13E10 - Artinian rings and modules, finite-dimensional algebras 13C05 - Structure, classification theorems

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