On the lattice of cotorsion theories

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dc.creatorGöbel, Rüdiger
dc.creatorShelah, Saharon
dc.creatorWallutis, Simone
dc.date2001-03-24
dc.date.accessioned2026-07-25T23:10:30Z
dc.descriptionWe discuss the lattice of cotorsion theories for abelian groups. First we show that the sublattice of the well-studied rational cotorsion theories can be identified with the well-known lattice of types. Using a recently developed method for making Ext vanish we also prove that any power set together with the ordinary set inclusion (and thus any poset) can be embedded into the lattice of all cotorsion theories.
dc.identifierhttps://arxiv.org/abs/math/0103154
dc.identifierhttp://arxiv.org/abs/math/0103154
dc.identifierJ. Algebra 238 No. 1 (2001) 292--313
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/96098
dc.subjectLogic
dc.subjectGroup Theory
dc.titleOn the lattice of cotorsion theories
dc.typetext

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