Local cohomology in classical rings
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
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.