Vanishing and Artinianness of graded generalized local cohomology

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

 

 

References

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Published
25.10.2020
How to Cite
Azari, A., A. Khojali, and N. Zamani. “Vanishing and Artinianness of Graded Generalized Local Cohomology”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 10, Oct. 2020, pp. 1315-22, doi:10.37863/umzh.v72i10.6026.
Section
Research articles