Local cohomology in classical rings.

Bueso Montero, José Luis, and Jara Martínez, Pascual. "Local cohomology in classical rings.." Publicacions Matemàtiques 36.2A (1992): 427-437. <http://eudml.org/doc/41723>.

@article{BuesoMontero1992,
abstract = {The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology on a classical ring.},
author = {Bueso Montero, José Luis, Jara Martínez, Pascual},
journal = {Publicacions Matemàtiques},
keywords = {Krull dimension; dominant dimension; Mayer-Vietoris type theorem; left noetherian ring; filter of left ideals; symmetric torsion theories; stable symmetric torsion theories; classical rings; chains of prime ideals; -dominant dimension; local cohomology},
language = {eng},
number = {2A},
pages = {427-437},
title = {Local cohomology in classical rings.},
url = {http://eudml.org/doc/41723},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Bueso Montero, José Luis
AU - Jara Martínez, Pascual
TI - Local cohomology in classical rings.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 427
EP - 437
AB - The aim of this paper is to establish the close connection between prime ideals and torsion theories in a non necessarily commutative noetherian ring. We introduce a new definition of support of a module and characterize some kinds of torsion theories in terms of prime ideals. Using the machinery introduced before, we prove a version of the Mayer-Vietoris Theorem for local cohomology and establish a relationship between the classical dimension and the vanishing of the groups of local cohomology on a classical ring.
LA - eng
KW - Krull dimension; dominant dimension; Mayer-Vietoris type theorem; left noetherian ring; filter of left ideals; symmetric torsion theories; stable symmetric torsion theories; classical rings; chains of prime ideals; -dominant dimension; local cohomology
UR - http://eudml.org/doc/41723
ER -