“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 467 |
|
| Abstract: | |
|
Let I be an ideal of a Noetherian ring R, N a finitely
generated R-module and let S be a multiplicatively closed
subset of R. We define the n-the (S)-symbolic power of
I w.r.t. N as S(InN)=∪s ∈ S(In N:N s). The
purpose of this paper is to show that the topologies defined by
{In N}n ≥ 0 are equivalent (resp. linearly equivalent) if
and only if S is disjoint from the quintessential (resp. essential)
primes of I w.r.t. N.
Download TeX format |
|
| back to top | |
