TY - JOUR
T1 - The direct limit closure of perfect complexes
AU - Christensen, Lars Winther
AU - Holm, Henrik
N1 - Funding Information:
This work was partly supported by NSA grant H98230-11-0214 (L.W.C.).
Publisher Copyright:
© 2014 Elsevier B.V.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84918811049&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2014.05.004
DO - 10.1016/j.jpaa.2014.05.004
M3 - Article
AN - SCOPUS:84918811049
VL - 219
SP - 449
EP - 463
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 3
ER -