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STRONGLY FLAT COVERS

Published online by Cambridge University Press:  24 March 2003

S. BAZZONI  and
L. SALCE
S. BAZZONI
Affiliation:
Dipartimento di Matematica Pura e Applicata, Universitá di Padova, Via Belzoni 7, 35131 Padova, [email protected]@math.unipd.it
L. SALCE
Affiliation:
Dipartimento di Matematica Pura e Applicata, Universitá di Padova, Via Belzoni 7, 35131 Padova, [email protected]@math.unipd.it
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Abstract

It is proved that all modules over an integral domain $R$ have strongly flat cover if and only if every flat $R$ -module is strongly flat. The domains satisfying this property are characterized by the property that all their proper quotients are perfect rings, and are called almost perfect. They are exactly the $h$ -local domains which are locally almost perfect. Various relevant classes of modules admitting or not admitting strongly flat cover are exhibited.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 276 - 294
Copyright
The London Mathematical Society, 2002

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Footnotes

Research supported by MURST.