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- W2570609851 abstract "In this paper, we define what it means for an object in an abstract module category to be dualizable and we give a homological description of the direct limit closure of the dualizable objects. Our description recovers existing results of Govorov and Lazard, Oberst and R{o}hrl, and Christensen and Holm. When applied to differential graded modules over a differential graded algebra, our description yields that a DG-module is semi-flat if and only if it can be obtained as a direct limit of finitely generated semi-free DG-modules. We obtain similar results for graded modules over graded rings and for quasi-coherent sheaves over nice schemes." @default.
- W2570609851 created "2017-01-13" @default.
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- W2570609851 date "2016-07-09" @default.
- W2570609851 modified "2023-09-27" @default.
- W2570609851 title "Dualizable and semi-flat objects in abstract module categories" @default.
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