Let $R$ be a commutative Noetherian ring, $Phi$ a system of ideals of $R$ and $Iin Phi$. In this paper among other things we prove that if $M$ is finitely generated and $tin mathbb{N}$ such that the $R$-module $lc^{i}_Phi(M)$ is ${m FD_{leq 1}}$ (or weakly Laskerian) for all $i展开▼
机译：假设$ R $是可交换的Noether环，$ Phi $是$ P $中$ R $和$ I 的理想系统。在本文中，我们证明了如果$ M $是有限生成的，并且$ t in mathbb {N} $是使得$ R $ -module $ lc ^ {i} _ Phi（M）$是所有$ i 展开▼
