Cominimaxness of certain general local cohomology modules
Pages : 1121-1130
View : 12 | Download : 6
Publication Date : 2019-08-08
Article Type : Research
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 $Ext^i_R(R/I,M)$ is minimax for all $i\leq t+1$. We prove that if the $R$-module $H^{i}_\Phi(M)$ is ${FD_{\leq 1}}$ (or weakly Laskerian) for all $i
Keywords : Local cohomology, ${
m FD_{leq n}}$ modules, $ETH$-cominimax modules