3 papers
math.AC2022
Cofiniteness with respect to extension of Serre subcategories
Xiaoyan Yang
Let be an ideal of a commutative noetherian ring , a Serre subcategory of -modules satisfying the condition and th…
math.AC2022
Cofiniteness with respect to extension of Serre subcategories
Negar Alipour, Reza Sazeedeh
Let be a commutative noetherian ring, be an ideal of , be an arbitrary Serre subcategory of -modules satisfying the condition and le…
math.CT2020
A new dimension for Grothendieck categories via the atom spectrum
Negar Alipour, Reza Sazeedeh
In this paper, we define a new dimension for objects in a Grothendieck category . We show that it serves as a lower bound for Gabriel-Krull dimension and under certain…