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Artinian Local Cohomology Modules

  Published:2007-12-01
 Printed: Dec 2007
  • Keivan Borna Lorestani
  • Parviz Sahandi
  • Siamak Yassemi
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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 local cohomology module, Artinian module, reflexive module
MSC Classifications: 13D45, 13E10, 13C05 show english descriptions Local cohomology [See also 14B15]
Artinian rings and modules, finite-dimensional algebras
Structure, classification theorems
13D45 - Local cohomology [See also 14B15]
13E10 - Artinian rings and modules, finite-dimensional algebras
13C05 - Structure, classification theorems
 

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