1 citations · 1 across the 18 of their papers we have counts for
22 papers
Classifying subcategories of a Grothendieck category via its spectral category
Reza Sazeedeh
Let be a Grothendieck category. In this paper we classify subcategories of via a support notion defined by Krause \cite{Kr2024} based on the spectral ca…
Classifying localizing subcategories of a locally coherent category
Reza Sazeedeh
Let $\cA$ be a locally coherent Grothendieck category, $\fp\cA$ be the full subcategory of $\cA$ consisting of finitely presented objects and $\ASpec\cA$ be the atom spectrum of $\…
Spectrum of an abelian category via premonoform objects
Reza Sazeedeh
Let $\cA$ be an abelian category. In this paper, we study ${\rm (n)PSpec}\cA$, a topological space formed by equivalence classes derived from an equivalence relation on (noetherian…
Bass numbers and endomorphism rings of Gorenstein injective modules
Reza Sazeedeh
Let be a commutative noetherian ring admitting a dualizing complex and let be a prime ideal of . In this paper we investigate when is an $R_{\fr…
Gorenstein injective filtrations over rings with dualizing complexes
Reza Sazeedeh
Let be a commutative noetherian ring. Enochs and Huang [EH] proved that over a Gorenstein ring of Krull dimension , every Gorenstein injective module admits a finite filtrat…
Cofiniteness of modules and local cohomology
Hajar Sabzeh, Reza Sazeedeh
Let be a commutative noetherian ring, let be an ideal of and let be a non-negative integer. In this paper, we study , a cer…