Cofiniteness of generalized local cohomology modules

• Autorzy: Kamran Divaani-Aazar , Reza Sazeedeh
• Języki publikacji: EN

Abstrakty

EN

Let 𝔞 denote an ideal of a commutative Noetherian ring R, and M and N two finitely generated R-modules with pd M < ∞. It is shown that if either 𝔞 is principal, or R is complete local and 𝔞 is a prime ideal with dim R/𝔞 = 1, then the generalized local cohomology module $H^i_{𝔞}(M,N)$ is 𝔞-cofinite for all i ≥ 0. This provides an affirmative answer to a question proposed in [13].

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2004
• Tom: 99
• Numer: 2
• Strony: 283-290

Daty

wydano

2004

Twórcy

autor

Kamran Divaani-Aazar

• Department of Mathematics, Az-Zahra University, Vanak, Tehran 19834, Iran
• Institute for Studies, in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran

autor

Reza Sazeedeh

• Department of Mathematics, Uromeiyeh University, Uromeiyeh, Iran
• Institute of Mathematics, University for Teacher Education, 599 Taleghani Avenue, Tehran 15614, Iran

Identyfikatory

DOI

10.4064/cm99-2-12