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ALL MODULES HAVE FLAT COVERS

Published online by Cambridge University Press:  25 July 2001

L. BICAN
Affiliation:
Department of Algebra, Universita Karlova, Sokolovská 83, 186 00 Praha 8 – Karlín, Czech Republic; bican@karlin.mff.cuni.czbashir@karlin.mff.cuni.cz
R. EL BASHIR
Affiliation:
Department of Algebra, Universita Karlova, Sokolovská 83, 186 00 Praha 8 – Karlín, Czech Republic; bican@karlin.mff.cuni.czbashir@karlin.mff.cuni.cz
E. ENOCHS
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, KY 40506-0027, USA; enochs@ms.uky.edu
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Abstract

In this paper we give two different proofs that the flat cover conjecture is true: that is, every module has a flat cover. The two proofs are of completely different nature, and, we hope, will have different applications. The first of the two proofs (due to the third author) is essentially an application of the work of P. Eklof and J. Trlifaj (work which is more set-theoretic). The second proof (due to the first two authors) is more direct, and has a model-theoretic flavour.

Type
NOTES AND PAPERS
Copyright
© The London Mathematical Society 2001

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