论文标题
正式的本地共同学模块的相关素数
Associated primes of formal local cohomology modules
论文作者
论文摘要
令$ \ mathfrak {a} $是有限生成的$ r $ -MODULE的通勤Noetherian Ring $ r $和$ m $的理想选择。在本文中,我们证明,如果$ \ operatorAname {spup} \ mathfrak {f} _ \ mathfrak {a}^i(m)$对于所有$ i <t $都是有限的,那么就是$ \ operatotorname {ass} {ass}(\ mathfrak {\ mathfrak {f} _ {f} _ {\ mathfrak)
Let $\mathfrak{a}$ be an ideal of a commutative Noetherian ring $R$ and $M$ a finitely generated $R$-module. In this paper we proved that if $\operatorname{Supp}\mathfrak{F}_\mathfrak{a}^i(M)$ is finite for all $i<t$, then so is $\operatorname{Ass}(\mathfrak{F}_{\mathfrak{a}}^t(M))$.