On the cogeneration of cotorsion pairs

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dc.creatorEklof, Paul C.
dc.creatorShelah, Saharon
dc.creatorTrlifaj, Jan
dc.date2004-05-07
dc.date.accessioned2026-07-07T05:07:59Z
dc.date.available2026-07-07T05:07:59Z
dc.descriptionLet R be a Dedekind domain. Enochs' solution of the Flat Cover Conjecture was extended as follows: (*) If C is a cotorsion pair generated by a class of cotorsion modules, then C is cogenerated by a set. We show that (*) is the best result provable in ZFC in case R has a countable spectrum: the Uniformization Principle UP^+ implies that C is not cogenerated by a set whenever C is a cotorsion pair generated by a set which contains a non-cotorsion module.
dc.identifierhttps://arxiv.org/abs/math/0405117
dc.identifierhttp://arxiv.org/abs/math/0405117
dc.identifierJ. Algebra 277 No. 2 (2004) 572--578
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71086
dc.subjectLogic
dc.titleOn the cogeneration of cotorsion pairs
dc.typetext

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