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

Flat covers and flat cotorsion modules


Author: Edgar Enochs
Journal: Proc. Amer. Math. Soc. 92 (1984), 179-184
MSC: Primary 13C11; Secondary 13C05
MathSciNet review: 754698
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Abstract: It is not known whether modules over an arbitrary ring have flat covers, however for certain modules over commutative noetherian rings they can be shown to exist. These covers, in turn, have an interesting connection with flat cotorsion modules. A complete description of flat cotorsion modules analogous to that given by Harrison for torsion free, cotorsion abelian groups will be given.

In this article, $ R$ will denote a commutative noetherian ring.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0754698-X
PII: S 0002-9939(1984)0754698-X
Article copyright: © Copyright 1984 American Mathematical Society