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Pure‐Projective Modules
Author(s) -
Puninski Gena,
Rothmaler Philipp
Publication year - 2005
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610705006290
Subject(s) - projective test , noetherian , mathematics , pure mathematics , finitely generated abelian group , projective module , algebra over a field
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.