Local cohomology in classical rings.

Título inglés Local cohomology in classical rings.
Título español Cohomología local en anillos clásicos.
Autor/es Bueso Montero, José Luis ; Jara Martínez, Pascual
Organización Dep. Alg. Univ. Granada, Granada, España
Revista 0214-1493
Publicación 1992, 36 (2A): 427-437, 9 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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.
Código MathReviews MR1209813
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