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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The existence of flat covers


Authors: Richard Belshoff, Edgar E. Enochs and Jin Zhong Xu
Journal: Proc. Amer. Math. Soc. 122 (1994), 985-991
MSC: Primary 16D50; Secondary 13C11
MathSciNet review: 1209416
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1209416-4
PII: S 0002-9939(1994)1209416-4
Keywords: Module, flat, injective, cover
Article copyright: © Copyright 1994 American Mathematical Society