Vanishing, Bass numbers, and cominimaxness of local cohomology modules

• Jafar A'zami ^[1]
  1. [1] University of Mohaghegh Ardabili

     University of Mohaghegh Ardabili

     Irán

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 58, Nº. 1, 2017, págs. 77-83
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • Let (R,m) be a commutative Noetherian regular local ring and I be a proper ideal of R. It is shown that Hd−1p(R)=0 for any prime ideal p of R with dim(R/p)=2, whenever the set {n∈N:R/p(n) is Cohen-Macaulay} is infinite. Now, let (R,m) be a commutative Noetherian unique factorization local domain of dimension d, I an ideal of R, and M a finitely generated R-module. It is shown that the Bass numbers of the R-module HiI(M) are finite, for all integers i≥0, whenever height(I)=1 or d≤3.