Melkersson condition on Serre subcategories

Reza Sazeedeh, Rasul Rasuli

Let $R$ be a commutative noetherian ring, let $\mathfrak{a}$ and $\mathfrak{b}$ be two ideals of $R$; and let $\Ss$ be a Serre subcategory of $R$-modules. We give a necessary and sufficient…