The direct limit closure of perfect complexes

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Abstract

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.

Original languageEnglish
Pages (from-to)449-463
Number of pages15
JournalJournal of Pure and Applied Algebra
Volume219
Issue number3
DOIs
StatePublished - Mar 1 2015

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