2007/06/29 by Marco Porta, Porta, Marco · 1 citation
Mathematics · #16D90 #16E45 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.KT #msc:16D90 #msc:16E45 #msc:18E30
paper · pdf · doi:10.48550/arxiv.0706.4458
32 pages; submitted to Advances in Mathematics; one reference added
openalex publication_date 2007/06/29 · arxiv created 2008/02/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Popescu-Gabriel theorem states that each Grothendieck abelian category is a localization of a module category. In this paper, we prove an analogue where Grothendieck abelian categories are replaced by triangulated categories which are well generated (in the sense of Neeman) and algebraic (in the sense of Keller). The role of module categories is played by derived categories of small differential graded categories. An analogous result for topological triangulated categories has recently been obtained by A. Heider.