Local cohomology in classical rings
ISSN: 0214-1493
Año de publicación: 1992
Título del ejemplar: la memória de Pere Menal i Brufal
Volumen: 36
Número: 2
Páginas: 427-437
Tipo: Artículo
Otras publicaciones en: Publicacions matematiques
Resumen
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.