On the representation of measures over bounded lattices

Autores
Massri, Cesar Dario; Holik, Federico Hernán
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
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
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
Materia
LATTICES
MEASURABILITY
MEASURE FUNCTOR
REPRESENTABILITY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/181158
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On the representation of measures over bounded latticesMassri, Cesar DarioHolik, Federico HernánLATTICESMEASURABILITYMEASURE FUNCTORREPRESENTABILITYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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.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; ArgentinaFil: 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; ArgentinaBirkhauser Verlag Ag2021-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/181158Massri, Cesar Dario; Holik, Federico Hernán; On the representation of measures over bounded lattices; Birkhauser Verlag Ag; Algebra Universalis; 82; 4; 9-2021; 1-240002-5240CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00012-021-00741-6info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-021-00741-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:34:15Zoai:ri.conicet.gov.ar:11336/181158instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-11-12 09:34:15.972CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the representation of measures over bounded lattices
title On the representation of measures over bounded lattices
spellingShingle On the representation of measures over bounded lattices
Massri, Cesar Dario
LATTICES
MEASURABILITY
MEASURE FUNCTOR
REPRESENTABILITY
title_short On the representation of measures over bounded lattices
title_full On the representation of measures over bounded lattices
title_fullStr On the representation of measures over bounded lattices
title_full_unstemmed On the representation of measures over bounded lattices
title_sort On the representation of measures over bounded lattices
dc.creator.none.fl_str_mv Massri, Cesar Dario
Holik, Federico Hernán
author Massri, Cesar Dario
author_facet Massri, Cesar Dario
Holik, Federico Hernán
author_role author
author2 Holik, Federico Hernán
author2_role author
dc.subject.none.fl_str_mv LATTICES
MEASURABILITY
MEASURE FUNCTOR
REPRESENTABILITY
topic LATTICES
MEASURABILITY
MEASURE FUNCTOR
REPRESENTABILITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
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
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
description 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.
publishDate 2021
dc.date.none.fl_str_mv 2021-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/181158
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
0002-5240
CONICET Digital
CONICET
url http://hdl.handle.net/11336/181158
identifier_str_mv 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
0002-5240
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/10.1007/s00012-021-00741-6
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-021-00741-6
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.976206

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