Local-global principle for annihilation of general local cohomology

J. Asadollahi, K. Khashyarmanesh, and Sh. Salarian. "Local-global principle for annihilation of general local cohomology." Colloquium Mathematicae 87.1 (2001): 129-136. <http://eudml.org/doc/283878>.

@article{J2001,
abstract = {Let A be a Noetherian ring, let M be a finitely generated A-module and let Φ be a system of ideals of A. We prove that, for any ideal in Φ, if, for every prime ideal of A, there exists an integer k(), depending on , such that $^\{k()\}$ kills the general local cohomology module $H_\{Φ_\{\}\}^\{j\}(M_\{\})$ for every integer j less than a fixed integer n, where $Φ_\{\}: = \{_\{\}: ∈ Φ\}$, then there exists an integer k such that $^\{k\}H_\{Φ\}^\{j\}(M) = 0$ for every j < n.},
author = {J. Asadollahi, K. Khashyarmanesh, Sh. Salarian},
journal = {Colloquium Mathematicae},
keywords = {annihilation of general local cohomology},
language = {eng},
number = {1},
pages = {129-136},
title = {Local-global principle for annihilation of general local cohomology},
url = {http://eudml.org/doc/283878},
volume = {87},
year = {2001},
}

TY - JOUR
AU - J. Asadollahi
AU - K. Khashyarmanesh
AU - Sh. Salarian
TI - Local-global principle for annihilation of general local cohomology
JO - Colloquium Mathematicae
PY - 2001
VL - 87
IS - 1
SP - 129
EP - 136
AB - Let A be a Noetherian ring, let M be a finitely generated A-module and let Φ be a system of ideals of A. We prove that, for any ideal in Φ, if, for every prime ideal of A, there exists an integer k(), depending on , such that $^{k()}$ kills the general local cohomology module $H_{Φ_{}}^{j}(M_{})$ for every integer j less than a fixed integer n, where $Φ_{}: = {_{}: ∈ Φ}$, then there exists an integer k such that $^{k}H_{Φ}^{j}(M) = 0$ for every j < n.
LA - eng
KW - annihilation of general local cohomology
UR - http://eudml.org/doc/283878
ER -