Embedding simple commutative monoids into simple refinement monoids - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Semigroup Forum Année : 1998

Embedding simple commutative monoids into simple refinement monoids

Résumé

Say 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.
Fichier principal
Vignette du fichier
EmbedSimple.pdf (246.88 Ko) Télécharger le fichier

Dates et versions

hal-00004373 , version 1 (06-03-2005)

Identifiants

Citer

Friedrich Wehrung. Embedding simple commutative monoids into simple refinement monoids. Semigroup Forum, 1998, 56 (1), pp.104--129. ⟨10.1007/s00233-002-7008-0⟩. ⟨hal-00004373⟩
105 Consultations
230 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More