Two left noetherian rings R and S are said to be singularly equivalent if their singularity
categories are equivalent as triangulated categories. The aim of this paper is to give a …

We propose a definition of when a triangulated category should be considered a complete
intersection. We show (using work of Avramov and Gulliksen) that for the derived category of …

Let X be a separated Noetherian scheme of finite Krull dimension which has enough locally
free sheaves of finite rank and let U⊆X be an open subscheme. We prove that the …

Colocalizing subcategories of DRfi Page 1 J. reine angew. Math. 653 (2011), 221—243 DOI
10.1515/CRELLE.2011.028 Journal fr die reine und angewandte Mathematik ( Walter de …

Firstly, we compare the bounded derived categories with respect to the pure-exact and the
usual exact structures, and describe bounded derived category by pure-projective modules …

We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …

This work clarifies the relationship between the openness of the regular locus of a
commutative Noetherian ring R and the existence of generators for the category of finitely …

We show that any homotopically smashing t-structure in the derived category of a
commutative noetherian ring is compactly generated. This generalizes the validity of the …

ON THE VANISHING OF COHOMOLOGY IN TRIANGULATED CATEGORIES 1. Introduction
Page 1 Homology, Homotopy and Applications, vol.13(2), 2011, pp.19–36 ON THE VANISHING …

We study certain Schur functors which preserve singularity categories of rings and we apply
them to study the singularity category of triangular matrix rings. In particular, combining …