Artinian Local Cohomology Modules

• Autores: Keivan Borna Lorestani, Parviz Sahandi, Siamak Yassemi
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 4, 2007, págs. 598-602
• Idioma: inglés
• DOI: 10.4153/cmb-2007-058-8
• Texto completo no disponible (Saber más ...)
• Resumen

  • Let R be a commutative Noetherian ring, a 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 Hia(M) is finitely generated for all i < t, then HomR(R/a, Hta(M)) is finitely generated. In this paper it is shown that if Hia(M) is Artinian for all i < t, then HomR(R/a, Hta(M)) need not be Artinian, but it has a finitely generated submodule N such that HomR(R/a, Hta(M))/N is Artinian.