The local cohomology modules of matlis reflexive modules are almost cofinite
Abstract
We show that if M and N are Matlis reflexive modules over a complete Gorenstein local domain R and I is an ideal of R such that the dimension of R/I is one, then the modules ExtRi(N, HIj(M)) are Matlis reflexive for all i and j if Supp(N) ⊆ V(I). It follows that the Bass numbers of HIj(M) are finite. If R is not a domain, then the same results hold for M = R.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/s0002-9939-96-03326-6
Keywords
Bass number, Gorenstein ring, Local cohomology module, Matlis reflexive module
Publication Date
1-1-1996
Recommended Citation
Belshoff, Richard, Susan Slattery, and Cameron Wickham. "The local cohomology modules of Matlis reflexive modules are almost cofinite." Proceedings of the American Mathematical Society 124, no. 9 (1996): 2649-2654.
Journal Title
Proceedings of the American Mathematical Society
