General local cohomology modules in view of low points and high points

• Date: 2023
• Main Authors: Sadeghi, M. Y., Ahmadi Amoli, Kh., Chaghamirza, М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2023
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7008
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $R$ be a commutative Noetherian ring, let $\Phi $ be a system of ideals of $R,$ let $M$ be a finitely generated $R$-module, and let $t$ be a nonnegative integer.  We first show that a general local cohomology module $H_{\Phi}^{i}(M)$ is a finitely genera...