Local cohomology in classical rings

Autores: José Luis Bueso Montero , Pascual Jara Martínez
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 427-437
Idioma: inglés
DOI: 10.5565/publmat_362a92_07
Títulos paralelos:
- Cohomología local en anillos clásicos
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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.