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Journal of the London Mathematical Society 2005 71(2):304-320; doi:10.1112/S0024610705006290
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© The London Mathematical Society

Pure-Projective Modules

Gena Puninski and Philipp Rothmaler

Department of Mathematics, Ohio State University 435 Galvin Hall, 4240 Campus Drive, Lima, OH 45804, USA puninskiy.1{at}osu.edu, rothmaler.1{at}osu.edu

Received 2 March 2004.

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.


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