Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring

Ghader Ghasemi; Kamal Bahmanpour; Jafar A'zami

Colloquium Mathematicae (2014)

  • Volume: 137, Issue: 2, page 263-270
  • ISSN: 0010-1354

Abstract

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Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.

How to cite

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Ghader Ghasemi, Kamal Bahmanpour, and Jafar A'zami. "Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring." Colloquium Mathematicae 137.2 (2014): 263-270. <http://eudml.org/doc/283941>.

@article{GhaderGhasemi2014,
abstract = {Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.},
author = {Ghader Ghasemi, Kamal Bahmanpour, Jafar A'zami},
journal = {Colloquium Mathematicae},
keywords = {cohomological dimension; local cohomology; system of parameters},
language = {eng},
number = {2},
pages = {263-270},
title = {Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring},
url = {http://eudml.org/doc/283941},
volume = {137},
year = {2014},
}

TY - JOUR
AU - Ghader Ghasemi
AU - Kamal Bahmanpour
AU - Jafar A'zami
TI - Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
JO - Colloquium Mathematicae
PY - 2014
VL - 137
IS - 2
SP - 263
EP - 270
AB - Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.
LA - eng
KW - cohomological dimension; local cohomology; system of parameters
UR - http://eudml.org/doc/283941
ER -

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