Cominimaxness of certain general local cohomology modules

Authors : Moharram AGHAPOURNAHR

Pages : 1121-1130

View : 62 | Download : 12

Publication Date : 2019-08-08

Article Type : Research Paper

Abstract :Let $R$ be a commutative Noetherian ring, $\Phi$ a system of ideals of $R$ and $I\in \Phi$. Let $t\in\Bbb{N}_0$ be an integer and $M$ an $R$-module such that $Ext^i_Rinsert ignore into journalissuearticles values(R/I,M);$ is minimax for all $i\leq t+1$. We prove that if the $R$-module $H^{i}_\Phiinsert ignore into journalissuearticles values(M);$ is ${FD_{\leq 1}}$ insert ignore into journalissuearticles values(or weakly Laskerian); for all $i Keywords : Local cohomology, m FD leq n modules, ETH cominimax modules

ORIGINAL ARTICLE URL