Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Quintasymptotic primes, local cohomology and ideal topologies

100%

Mehrvarz A., Naghipour R., Sedghi M.

Colloquium Mathematicum

2006

tom 106

nr 1

25-37

Let Φ be a system of ideals on a commutative Noetherian ring R, and let S be a multiplicatively closed subset of R. The first result shows that the topologies defined by ${I_{a}}_{I∈Φ}$ and ${S(I_{a})}_{I∈Φ}$ are equivalent if and only if S is disjoint from the quintasymptotic primes of Φ. Also, by using the generalized Lichtenbaum-Hartshorne vanishing theorem we show that, if (R,𝔪) is a d-dimensional local quasi-unmixed ring, then $H^{d}_{Φ}(R)$, the dth local cohomology module of R with respect to Φ, vanishes if and only if there exists a multiplicatively closed subset S of R such that S ∩ 𝔪 ≠ ∅ and the S(Φ)-topology is finer than the $Φ_{a}$-topology.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Mehrvarz A.

1 Naghipour R.

1 Sedghi M.

1 2006

Wyniki wyszukiwania

Quintasymptotic primes, local cohomology and ideal topologies