The direct limit closure of perfect complexes

• Lars Winther Christensen ^[1] ; Henrik Holm ^[2]
  1. [1] Texas Tech University

     Texas Tech University

     Estados Unidos

     
  2. [2] University of Copenhagen

     University of Copenhagen

     Dinamarca

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 3 ((March 2015)), 2015 (Ejemplar dedicado a: Special Issue in honor of Prof. Hans-Bjørn Foxby), págs. 449-463
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.05.004
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• Resumen

  • Every projective module is flat. Conversely, every flat module is a direct limit of finitely generated free modules; this was proved independently by Govorov and Lazard in the 1960s. In this paper we prove an analogous result for complexes of modules, and as applications we reprove some results due to Enochs and García Rozas and to Neeman.