Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596085 | Journal of Pure and Applied Algebra | 2015 | 15 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Lars Winther Christensen, Henrik Holm,