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

Journal Title

Proceedings of the American Mathematical Society

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