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| Home > Articles > Published articles > Local cohomology in classical rings |
| Date: | 1992 |
| Abstract: | The aim of this paper is to stablish the close connection between prime ideals and torsion theories in anon 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 stablish a relationship between the classical dimension and the vanishing of the groups of local cohomology on a classical ring. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 427-437, ISSN 2014-4350 |
