The relative singularity category of a non-commutative resolution of singularities

Idempotent Completion of Triangulated Categories

Paul Balmer, Marco Schlichting · Journal of Algebra · 2001 · 280 citations

Higher Category Theory, Categorical Model, Idempotent Completion +1

Three-dimensional flops and noncommutative rings

Michel Van den Bergh · Duke Mathematical Journal · 2004 · 230 citations · Full text

Commutative Algebra, Higher Category Theory, Non-commutative Algebra +4

The Algebras with Discrete Derived Category

Dieter Vossieck · Journal of Algebra · 2001 · 124 citations

Higher Category Theory, Abstract Algebra, Discrete Derived Category +1

Formal completions and idempotent completions of triangulated categories of singularities

Dmitri Olegovich Orlov · Advances in Mathematics · 2010 · 120 citations · Full text

Higher Category Theory, Formal Completions

Localization of triangulated categories and derived categories

Jun-ichi Miyachi · Journal of Algebra · 1991 · 103 citations

Higher Category Theory, Localization, Categorical Model +1