Vanishing and Artinianness of graded generalized local cohomology

A.  Azari; A. Khojali; N.  Zamani

doi:10.37863/umzh.v72i10.6026

A. Azari Univ. Mohaghegh Ardabili, Ardabil, Iran
A. Khojali Univ. Mohaghegh Ardabili, Ardabil, Iran
N. Zamani Univ. Mohaghegh Ardabili, Ardabil, Iran

DOI: https://doi.org/10.37863/umzh.v72i10.6026

Keywords: Bass numbers, Generalized local cohomology modules, tameness

Abstract

UDC 512.5

Let $R=\oplus_{j\geq 0}R_j$ be a homogeneous Noetherian ring with semilocal base ring $R_0.$
Let $R_+=\oplus_{j\geq 1}R_j$ be the irrelevant ideal of $R.$
For two finitely generated graded $R$-modules $M$ and $N,$ several results on the vanishing, Artiniannes and tameness property of the graded $R$-modules $H^i_{R_+}(M, N)$ will be investigated.

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