19 citations · 32 across the 8 of their papers we have counts for
4 papers · 1 filter
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,…
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…
Morphisms represented by monomorphisms
Kiriko Kato
Every homomorphism of modules is projective-stably equivalent to an epimorphism but is not always to a monomorphism. We prove that a map is projective-stably equivalent to a monomo…