“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 8335 |
|
| Abstract: | |
|
Let (R,\frakm) be a complete Noetherian local ring and let M be
a finite R-module of positive Krull dimension n. It is shown
that any subset T of \AsshR(M) can be expressed as the set of
attached primes of the top local cohomology module \lcn\fa(M)
for some ideal \fa of R. Moreover if \fa is an ideal of R
such that the set of attached primes of \lcn\fa(M) is a
non-empty proper subset of \AsshR(M), then
\lcn\fa(M) ≅ \lcn\fb(M) for some ideal \fb of R with
dimR (R/\fb)=1.
Download TeX format |
|
| back to top | |
