19 citations · 32 across the 8 of their papers we have counts for
8 papers
Supports of intersections of thick subcategories and proxy smallness
Kiriko Kato, Ryo Takahashi
Let R be a commutative noetherian ring. Let D^b(R) be the bounded derived category of finitely generated R-modules. Let X and Y be thick subcategories of D^b(R). In this paper, we…
Totally acyclic complexes and locally Gorenstein rings
Lars Winther Christensen, Kiriko Kato
A commutative noetherian ring with a dualizing complex is Gorenstein if and only if every acyclic complex of injective modules is totally acyclic. We extend this characterization,…
Polygon of recollements and -complexes
Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
We study a structure of subcategories which are called a polygon of recollements in a triangulated category. First, we study a -gon of recollements in an -Calabi-Yau tri…
Derived categories of -complexes
Osamu Iyama, Kiriko Kato, Jun-ichi Miyachi
We study the homotopy category of -complexes of an additive category and the derived category of an abe…
Triangulated subcategories of extensions, stable t-structures, and triangles of recollements
Peter Jorgensen, Kiriko Kato
In a triangulated category T with a pair of triangulated subcategories X and Y, one may consider the subcategory of extensions X*Y. We give conditions for X*Y to be triangulated an…
Symmetric Auslander and Bass categories
Peter Jorgensen, Kiriko Kato
We define the symmetric Auslander category A^s(R) to consist of complexes of projective modules whose left- and right-tails are equal to the left- and right tails of totally acycli…