“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 2319 |
|
||||||
| Abstract: | |||||||
|
Let \fraka be an ideal of a commutative Noetherian ring R
and let M,N be finitely generated R-modules. We prove that
whenever n is a positive integer such that
(i) H\frakan(N) has a finitely many associated prime
ideals; and,
(ii) ExtRn−i (M, H\frakai(N)) is finitely
generated for all i=1,2,…, n−1 then the set of associated prime ideals of generalized local cohomology module H\frakan (M,N) is finite. As a consequence, we provide some sufficient conditions for finiteness of AssRHn\fraka (M,N). Also, we show that if M has finite projective dimension d then H\frakan+d (M,N) ≅ H\frakad (M, Hn(a1,…, an) (N)) for any positive integer n and any \fraka-filter regular sequence a1,…, an on N. Download TeX format |
|||||||
| back to top | |||||||
