Local-global principle for annihilation of general local cohomology

• Autorzy: J. Asadollahi , K. Khashyarmanesh , Sh. Salarian
• Języki publikacji: EN

Abstrakty

EN

Let A be a Noetherian ring, let M be a finitely generated A-module and let Φ be a system of ideals of A. We prove that, for any ideal 𝔞 in Φ, if, for every prime ideal 𝔭 of A, there exists an integer k(𝔭), depending on 𝔭, such that $𝔞^{k(𝔭)}$ kills the general local cohomology module $H_{Φ_{𝔭}}^{j}(M_{𝔭})$ for every integer j less than a fixed integer n, where $Φ_{𝔭}: = {𝔞_{𝔭}: 𝔞 ∈ Φ}$, then there exists an integer k such that $𝔞^{k}H_{Φ}^{j}(M) = 0$ for every j < n.

Kategorie tematyczne

• 13D45: Local cohomology

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2001
• Tom: 87
• Numer: 1
• Strony: 129-136

Daty

wydano

2001

Twórcy

autor

J. Asadollahi

• School of Science, Tarbiat Modarres University, P.O. Box 14155-4838, Tehran, Iran

autor

K. Khashyarmanesh

• Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran
• Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran

autor

Sh. Salarian

• Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran
• Department of Mathematics, Damghan University, P.O. Box 36715-364, Damghan, Iran

Identyfikatory

DOI

10.4064/cm87-1-8