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dc.contributor.author
Massri, Cesar Dario  
dc.contributor.author
Holik, Federico Hernán  
dc.date.available
2022-12-14T15:50:56Z  
dc.date.issued
2021-09  
dc.identifier.citation
Massri, Cesar Dario; Holik, Federico Hernán; On the representation of measures over bounded lattices; Birkhauser Verlag Ag; Algebra Universalis; 82; 4; 9-2021; 1-24  
dc.identifier.issn
0002-5240  
dc.identifier.uri
http://hdl.handle.net/11336/181158  
dc.description.abstract
In this paper we investigate measures over bounded lattices, extending and giving a unifying treatment to previous works. In particular, we prove that the measures of an arbitrary bounded lattice can be represented as measures over a suitably chosen Boolean lattice. Using techniques from algebraic geometry, we also prove that given a bounded lattice X there exists a scheme X such that a measure over X is the same as a (scheme-theoretic) measure over X. We also define the measurability of a lattice, and describe measures over finite lattices.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser Verlag Ag  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
LATTICES  
dc.subject
MEASURABILITY  
dc.subject
MEASURE FUNCTOR  
dc.subject
REPRESENTABILITY  
dc.subject.classification
Estadística y Probabilidad  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the representation of measures over bounded lattices  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-09-20T15:47:16Z  
dc.journal.volume
82  
dc.journal.number
4  
dc.journal.pagination
1-24  
dc.journal.pais
Suiza  
dc.journal.ciudad
Basel  
dc.description.fil
Fil: Massri, Cesar Dario. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Universidad Caece. Departamento de Administración y Ciencias Sociales; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Holik, Federico Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina  
dc.journal.title
Algebra Universalis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00012-021-00741-6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00012-021-00741-6  

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