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The direct limit closure of perfect complexes

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arxiv 1301.0731 v2 pith:2DLU3HJW submitted 2013-01-04 math.RA math.AC

Lars Winther Christensen , Henrik Holm This is my paper · ORCID
classification math.RAmath.AC
keywords complexesdirecteveryflatlimitmodulemodulesanalogous
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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 Garc\'ia Rozas and to Neeman.

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  1. Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity

    math.CT 2025-09 conditional novelty 7.0 of 10

    For hereditary complete cotorsion pairs generated by a set in a Grothendieck category, the coderived category of the left class is equivalent to the contraderived category of the right class, and for sandwiched pairs ...

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