Embedding simple commutative monoids into simple refinement monoids

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dc.creatorWehrung, Friedrich
dc.date2005-03-08
dc.date.accessioned2026-07-07T05:17:47Z
dc.date.available2026-07-07T05:17:47Z
dc.descriptionSay that a cone is a commutative monoid in which x+y=0 implies that x=y=0. We show that cones (resp. simple cones) of many kinds order-embed or even embed unitarily into refinement cones (resp. simple refinement cones) of the same kind, satisfying in addition various divisibility conditions. We do this in particular for all cones, or for all separative cones, or for all cancellative cones (positive cones of partially ordered abelian groups). We also settle both the torsion-free case and the unperforated case. Most of our results extend to arbitrary commutative monoids.
dc.identifierhttps://arxiv.org/abs/math/0503155
dc.identifierhttp://arxiv.org/abs/math/0503155
dc.identifierSemigroup Forum 56 (1998) 104--129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74433
dc.subjectGeneral Mathematics
dc.subject06F20, 20M14
dc.titleEmbedding simple commutative monoids into simple refinement monoids
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