An alternative proof of hill's criterion of freeness for abelian groups

In this note we provide a different proof of Hill's criteria of freeness for abelian groups. Our proof hinges on the construction of suitable $G(\aleph_0)$-families of subgroups of the links in Hill's theorem and, ultimately, on the construction of such a family of pure subgroups of the gr...

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Autores:
Macías-Díaz, Jorge Eduardo
Tipo de recurso:
Article of journal
Fecha de publicación:
2010
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/39801
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/39801
http://bdigital.unal.edu.co/29898/
Palabra clave:
Abelian group
Freeness
Hill's criterion
G(\aleph_0)-family
Purity
20K20
03E75
20K25
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Macías-Díaz, Jorge Eduardof35a19fb-1805-4f29-a8ad-80a590cfc5913002019-06-28T04:28:32Z2019-06-28T04:28:32Z2010https://repositorio.unal.edu.co/handle/unal/39801http://bdigital.unal.edu.co/29898/In this note we provide a different proof of Hill's criteria of freeness for abelian groups. Our proof hinges on the construction of suitable $G(\aleph_0)$-families of subgroups of the links in Hill's theorem and, ultimately, on the construction of such a family of pure subgroups of the group itself.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/28595Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 59-64 0034-7426Macías-Díaz, Jorge Eduardo (2010) An alternative proof of hill's criterion of freeness for abelian groups. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 59-64 0034-7426 .An alternative proof of hill's criterion of freeness for abelian groupsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTAbelian groupFreenessHill's criterionG(\aleph_0)-familyPurity20K2003E7520K25ORIGINAL28595-142427-1-PB.htmltext/html3238https://repositorio.unal.edu.co/bitstream/unal/39801/1/28595-142427-1-PB.html3211d1138cc48eda2405e83b1ab9803cMD5128595-102404-1-PB.pdfapplication/pdf128258https://repositorio.unal.edu.co/bitstream/unal/39801/2/28595-102404-1-PB.pdfff2a22165e4fa7b18d5492abf1ad0e19MD52THUMBNAIL28595-102404-1-PB.pdf.jpg28595-102404-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4923https://repositorio.unal.edu.co/bitstream/unal/39801/3/28595-102404-1-PB.pdf.jpg3e66cb6cf4fa8061469906de1a228b87MD53unal/39801oai:repositorio.unal.edu.co:unal/398012024-01-21 23:06:48.018Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv An alternative proof of hill's criterion of freeness for abelian groups
title An alternative proof of hill's criterion of freeness for abelian groups
spellingShingle An alternative proof of hill's criterion of freeness for abelian groups
Abelian group
Freeness
Hill's criterion
G(\aleph_0)-family
Purity
20K20
03E75
20K25
title_short An alternative proof of hill's criterion of freeness for abelian groups
title_full An alternative proof of hill's criterion of freeness for abelian groups
title_fullStr An alternative proof of hill's criterion of freeness for abelian groups
title_full_unstemmed An alternative proof of hill's criterion of freeness for abelian groups
title_sort An alternative proof of hill's criterion of freeness for abelian groups
dc.creator.fl_str_mv Macías-Díaz, Jorge Eduardo
dc.contributor.author.spa.fl_str_mv Macías-Díaz, Jorge Eduardo
dc.subject.proposal.spa.fl_str_mv Abelian group
Freeness
Hill's criterion
G(\aleph_0)-family
Purity
20K20
03E75
20K25
topic Abelian group
Freeness
Hill's criterion
G(\aleph_0)-family
Purity
20K20
03E75
20K25
description In this note we provide a different proof of Hill's criteria of freeness for abelian groups. Our proof hinges on the construction of suitable $G(\aleph_0)$-families of subgroups of the links in Hill's theorem and, ultimately, on the construction of such a family of pure subgroups of the group itself.
publishDate 2010
dc.date.issued.spa.fl_str_mv 2010
dc.date.accessioned.spa.fl_str_mv 2019-06-28T04:28:32Z
dc.date.available.spa.fl_str_mv 2019-06-28T04:28:32Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/29898/
url https://repositorio.unal.edu.co/handle/unal/39801
http://bdigital.unal.edu.co/29898/
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/28595
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 59-64 0034-7426
dc.relation.references.spa.fl_str_mv Macías-Díaz, Jorge Eduardo (2010) An alternative proof of hill's criterion of freeness for abelian groups. Revista Colombiana de Matemáticas; Vol. 44, núm. 1 (2010); 59-64 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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