The existence of flat covers

Belshoff, Richard; Enochs, Edgar E.; Xu, Jin Zhong

doi:10.1090/S0002-9939-1994-1209416-4

The existence of flat covers
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by Richard Belshoff, Edgar E. Enochs and Jin Zhong Xu

Proc. Amer. Math. Soc. 122 (1994), 985-991

DOI: https://doi.org/10.1090/S0002-9939-1994-1209416-4

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Abstract:

We show that over a right coherent ring all pure injective left modules have flat covers. Then using recent work of Auslander and Buchweitz we show that left modules of finite flat dimension over right coherent rings also have flat covers.

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