Finiteness properties for matlis reflexive modules
Abstract
The local cohomology modules HJ I(M) of a Matlis reflexive module are shown to be I-cofinite when j >= 1 and have finite Bass numbers when j >= 0, where I is an ideal satisfying any one of a list of properties. In addition, we show that the completion of a Matlis reflexive module is finitely generated over the completion of the ring and we classify Matlis reflexive modules over a one dimensional ring.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1080/00927879608825640
Keywords
Matlis reflexive module, local cohomology, Gorenstein ring, Bass numbers
Publication Date
1996
Recommended Citation
Belshoff, Richard, Susan Palmer Slattery, and Cameron Wickham. "Finiteness properties for Matlis reflexive modules." Communications in Algebra 24, no. 4 (1996): 1371-1376.
Journal Title
Communications in Algebra
COinS
