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PURE-PROJECTIVE MODULES

Published online by Cambridge University Press:  06 April 2005

GENA PUNINSKI  and
PHILIPP ROTHMALER
GENA PUNINSKI
Affiliation:
Department of Mathematics, Ohio State University, 435 Galvin Hall, 4240 Campus Drive, Lima, OH 45804, USApuninskiy.1@osu.edu, rothmaler.1@osu.edu
PHILIPP ROTHMALER
Affiliation:
Department of Mathematics, Ohio State University, 435 Galvin Hall, 4240 Campus Drive, Lima, OH 45804, USApuninskiy.1@osu.edu, rothmaler.1@osu.edu
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Abstract

The question is addressed of when all pure-projective modules are direct sums of finitely presented modules. It is proved that this is the case over hereditary noetherian rings. Partial results are obtained for uniserial rings. Some of the methods are model-theoretic, and the techniques developed using these may be of interest in their own right.

Keywords

16D7016G3016D4016P4013L0516B7016U1016U20
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 71 , Issue 2 , April 2005 , pp. 304 - 320
Copyright
The London Mathematical Society 2005

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