Let $ R $ be a commutative noetherian ring. In this paper, we study specialization-closed
subsets of $\mathrm {Spec} R $. More precisely, we first characterize the specialization …

Let A denote a commutative Noetherian ring, a be an ideal of A, X be an arbitrary dense
subcategory of A‐modules, and N be the full subcategory of finite A‐modules. In this paper …

Let be a commutative noetherian ring. The notion of-wide subcategories of is introduced and
studied in Matsui–Nam–Takahashi–Tri–Yen in relation to the cohomological dimension of a …

Let $ A $ be a commutative noetherian ring. In this paper, we interpret localizing
subcategories of the derived category of $ A $ by using subsets of Spec $ A $ and …

Let R be a commutative Noetherian ring, a be an ideal of R, S be a Serre subcategory of R-
modules satisfying the condition C a, N be a finitely generated R-module and M be an …

Let R be a commutative Noetherian ring. We introduce the notion of localization functors λ W
with cosupports in arbitrary subsets W of Spec R; it is a common generalization of …

Let R be a commutative Noetherian ring. Denote by mod R the category of finitely generated
R-modules. In this paper, we study dominant resolving subcategories of mod R. We …

Let $ R $ be a commutative Noetherian ring with non-zero identity, $\fa $ an ideal of $ R $,
and $ X $ an $ R $--module. In this paper, for fixed integers $ s, t $ and a finite $\fa $--torsion …

Let R be a commutative Noetherian ring. We introduce the notion of colocalization functors γ
W with supports in arbitrary subsets W of Spec R. If W is a specialization-closed subset, then …

Let $ R $ be a commutative noetherian local ring and denote by $\operatorname {mod} R $
the category of finitely generated $ R $-modules. In this paper, we give some evaluations of …