6 citations · 6 across the 11 of their papers we have counts for
13 papers
Truncation of dg categories and connective resolutions
Norihiro Hanihara
We study the truncation of dg categories. We first show that given a dg category with shifts, for example a pretriangulated dg category, the canonical f…
Spherical modules and the Auslander--Gorenstein condition for Auslander--Yoneda algebras
Finn Bauwens, Norihiro Hanihara, René Marczinzik +2
For a finite dimensional algebra of finite global dimension we study the Auslander--Yoneda algebra defined as the Yoneda algebra of the direct sum of all indecomposable -mod…
Calabi-Yau structures on derived and singularity categories of symmetric orders
Norihiro Hanihara, Junyang Liu
We construct left and right Calabi-Yau structures on derived respectively singularity categories of symmetric orders over commutative Gorenstein rings . For this, we first c…
Silting correspondences and Calabi-Yau dg algebras
Norihiro Hanihara, Osamu Iyama
This paper is devoted to studying two important classes of objects in triangulated categories; silting objects and -cluster tilting objects, and their correspondences. First, we…
Reflexive modules and Auslander-type conditions
Norihiro Hanihara
We study the category of reflexive modules over a two-sided Noetherian ring . We show that the category is quasi-abelian if and…
Calabi-Yau completions for roots of dualizing dg bimodules
Norihiro Hanihara
Roots of shifted Serre functors appear naturally in representation theory and algebraic geometry. We give an analogue of Keller's Calabi-Yau completion for roots of shifted inverse…
Higher hereditary algebras and Calabi-Yau algebras arising from some toric singularities
Norihiro Hanihara
We study graded and ungraded singularity categories of some commutative Gorenstein toric singularities, namely, Veronese subrings of polynomial rings, and Segre products of some co…
Non-commutative resolutions for Segre products and Cohen-Macaulay rings of hereditary representation type
Norihiro Hanihara
We study commutative Cohen-Macaulay rings whose Cohen-Macaulay representation theory are controlled by representations of quivers, which we call hereditary representation type. Bas…
Enhanced Auslander-Reiten duality and Morita theorem for singularity categories
Norihiro Hanihara, Osamu Iyama
We establish a Morita theorem to construct triangle equivalences between the singularity categories of (commutative and non-commutative) Gorenstein rings and the cluster categories…
Morita theorem for hereditary Calabi-Yau categories
Norihiro Hanihara
We give a structure theorem for Calabi-Yau triangulated category with a hereditary cluster tilting object. We prove that an algebraic -Calabi-Yau triangulated category with a $d…
Cluster categories of formal DG algebras and singularity categories
Norihiro Hanihara
Given a negatively graded Calabi-Yau algebra, we regard it as a DG algebra with vanishing differentials and study its cluster category. We show that this DG algebra is sign-twisted…
Yoneda algebras and their singularity categories
Norihiro Hanihara
For a finite dimensional algebra of finite representation type and an additive generator for , we investigate the properties of the Yoneda algebra $Γ=\bigo…
Auslander Correspondence for Triangulated Categories
Norihiro Hanihara
We give analogues of the Auslander correspondence for two classes of triangulated categories satisfying certain finiteness conditions. The first class is triangulated categories wi…