A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules
2008
Proceedings of the American Mathematical Society
Let R be a commutative Noetherian ring and a an ideal of R. In this paper we introduce the concept of a-minimax R-modules, and it is shown that if M is an a-minimax R-module and t a non-negative integer such that H i a (M ) is a-minimax for all i < t, then for any a-minimax submodule N of H t a (M ), the R-module Hom R (R/a, H t a (M )/N ) is a-minimax. As a consequence, it follows that the Goldie dimension of H t a (M )/N is finite, and so the associated primes of H t a (M )/N are finite. This
doi:10.1090/s0002-9939-08-09530-0
fatcat:h3mvevyqovegzfrxfxcvzzbqdu