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dc.contributor.author Busaniche, Manuela
dc.contributor.author Cabrer, Leonardo Manuel
dc.contributor.author Mundici, Daniele
dc.date.available 2019-01-11T21:41:40Z
dc.date.issued 2012-03
dc.identifier.citation Busaniche, Manuela; Cabrer, Leonardo Manuel; Mundici, Daniele; Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups; De Gruyter; Forum Mathematicum; 24; 2; 3-2012; 253-271
dc.identifier.issn 0933-7741
dc.identifier.uri http://hdl.handle.net/11336/67953
dc.description.abstract A unital ℓ-group (G; u) is an abelian group G equipped with a translationinvariant lattice-order and a distinguished element u, called order-unit, whose positive integer multiples eventually dominate each element of G. It is shown that, for direct systems S and T of finitely presented unital ℓ-groups, confluence is a necessary condition for lim S ≅ lim T . (Sufficiency is an easy byproduct of a general result). When (G; u) is finitely generated we equip it with a sequence W (G;u) = (W 0;W 1; : : ) of weighted abstract simplicial complexes, where W t+1 is obtained from W t either by the classical Alexander binary stellar operation, or by deleting a maximal simplex of W t. We show that the map (G; u) → W (G;u) has an inverse. A confluence criterion is given to recognize when two sequences arise from isomorphic unital ℓ-groups.
dc.format application/pdf
dc.language.iso eng
dc.publisher De Gruyter
dc.rights info:eu-repo/semantics/restrictedAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject ABSTRACT SIMPLICIAL COMPLEX
dc.subject ALEXANDER STARRING
dc.subject CONFLUENCE
dc.subject CONFLUENT DIRECT SYSTEM
dc.subject DIRECT SYSTEM
dc.subject LATTICE-ORDERED ABELIAN GROUP
dc.subject ORDER-UNIT
dc.subject RATIONAL POLYHEDRON
dc.subject REGULAR FAN
dc.subject SIMPLICIAL COMPLEX
dc.subject STELLAR SUBDIVISION
dc.subject WEIGHTED ABSTRACT SIMPLICIAL COMPLEX
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2019-01-11T18:43:41Z
dc.journal.volume 24
dc.journal.number 2
dc.journal.pagination 253-271
dc.journal.pais Alemania
dc.journal.ciudad Berlín
dc.description.fil Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil Fil: Cabrer, Leonardo Manuel. Universidad Nacional del Centro de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil Fil: Mundici, Daniele. Università degli Studi di Firenze; Italia
dc.journal.title Forum Mathematicum
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/form.2012.24.issue-2/form.2011.059/form.2011.059.xml
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1515/form.2011.059
dc.conicet.fuente individual


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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)