Local cohomology in classical rings

  1. Bueso Montero, José Luis
  2. Jara Martínez, Pascual
Revista:
Publicacions matematiques

ISSN: 0214-1493

Any de publicació: 1992

Títol de l'exemplar: la memória de Pere Menal i Brufal

Volum: 36

Número: 2

Pàgines: 427-437

Tipus: Article

DOI: 10.5565/PUBLMAT_362A92_07 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Altres publicacions en: Publicacions matematiques

Resum

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.

Fuente de los datos: Dialnet