Categorification of some integer sequences and higher dimensional partitions

ABSTRACT: In this paper, we prove that the number of some 3-dimensional partitions is given by the number of indecomposable objects of some posets of finite representation type.

Autores:
Giraldo Salazar, Hernán Alonso
Moreno Cañadas, Agustín
Cifuentes Vargas, Verónica
Tipo de recurso:
Article of investigation
Fecha de publicación:
2014
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/44297
Acceso en línea:
https://hdl.handle.net/10495/44297
Palabra clave:
Partición de dimensiones superiores
Representaciones de Posets
Algoritmo de diferenciación
Trayectoria reticular
Número poligonal
Objetos indescomponibles
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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network_acronym_str UDEA2
network_name_str Repositorio UdeA
repository_id_str
dc.title.spa.fl_str_mv Categorification of some integer sequences and higher dimensional partitions
title Categorification of some integer sequences and higher dimensional partitions
spellingShingle Categorification of some integer sequences and higher dimensional partitions
Partición de dimensiones superiores
Representaciones de Posets
Algoritmo de diferenciación
Trayectoria reticular
Número poligonal
Objetos indescomponibles
title_short Categorification of some integer sequences and higher dimensional partitions
title_full Categorification of some integer sequences and higher dimensional partitions
title_fullStr Categorification of some integer sequences and higher dimensional partitions
title_full_unstemmed Categorification of some integer sequences and higher dimensional partitions
title_sort Categorification of some integer sequences and higher dimensional partitions
dc.creator.fl_str_mv Giraldo Salazar, Hernán Alonso
Moreno Cañadas, Agustín
Cifuentes Vargas, Verónica
dc.contributor.author.none.fl_str_mv Giraldo Salazar, Hernán Alonso
Moreno Cañadas, Agustín
Cifuentes Vargas, Verónica
dc.contributor.researchgroup.spa.fl_str_mv Álgebra, Teoría de Números y Aplicaciones: ERM
Álgebra U de A
dc.subject.proposal.spa.fl_str_mv Partición de dimensiones superiores
Representaciones de Posets
Algoritmo de diferenciación
Trayectoria reticular
Número poligonal
Objetos indescomponibles
topic Partición de dimensiones superiores
Representaciones de Posets
Algoritmo de diferenciación
Trayectoria reticular
Número poligonal
Objetos indescomponibles
description ABSTRACT: In this paper, we prove that the number of some 3-dimensional partitions is given by the number of indecomposable objects of some posets of finite representation type.
publishDate 2014
dc.date.issued.none.fl_str_mv 2014
dc.date.accessioned.none.fl_str_mv 2025-01-21T20:42:09Z
dc.date.available.none.fl_str_mv 2025-01-21T20:42:09Z
dc.type.spa.fl_str_mv Artículo de investigación
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dc.identifier.issn.none.fl_str_mv 0972-0871
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/10495/44297
dc.identifier.eissn.none.fl_str_mv 0971-4332
identifier_str_mv 0972-0871
0971-4332
url https://hdl.handle.net/10495/44297
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationendpage.spa.fl_str_mv 149
dc.relation.citationissue.spa.fl_str_mv 2
dc.relation.citationstartpage.spa.fl_str_mv 133
dc.relation.citationvolume.spa.fl_str_mv 93
dc.relation.ispartofjournal.spa.fl_str_mv Far East Journal of Mathematical Sciences
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eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 17 páginas
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dc.publisher.spa.fl_str_mv Universidad de Allahabad
dc.publisher.place.spa.fl_str_mv Allahabad, India
institution Universidad de Antioquia
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spelling Giraldo Salazar, Hernán AlonsoMoreno Cañadas, AgustínCifuentes Vargas, VerónicaÁlgebra, Teoría de Números y Aplicaciones: ERMÁlgebra U de A2025-01-21T20:42:09Z2025-01-21T20:42:09Z20140972-0871https://hdl.handle.net/10495/442970971-4332ABSTRACT: In this paper, we prove that the number of some 3-dimensional partitions is given by the number of indecomposable objects of some posets of finite representation type.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODICOL0017217COL008689617 páginasapplication/pdfengUniversidad de AllahabadAllahabad, Indiahttp://creativecommons.org/licenses/by-nc-sa/2.5/co/https://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Categorification of some integer sequences and higher dimensional partitionsArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPartición de dimensiones superioresRepresentaciones de PosetsAlgoritmo de diferenciaciónTrayectoria reticularNúmero poligonalObjetos indescomponibles149213393Far East Journal of Mathematical SciencesRoR:03bp5hc83PublicationORIGINALGiraldoHernan_2014_Integer_Sequences_Partitions.pdfGiraldoHernan_2014_Integer_Sequences_Partitions.pdfArtículo de investigaciónapplication/pdf669930https://bibliotecadigital.udea.edu.co/bitstreams/74e130a0-376d-4748-9eb5-1a031cff61e8/downloadb6996b41f190c8d02065d8b58fe2df58MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstreams/bf156058-7f24-4f7d-8e60-d0b2fdd5bae3/downloade2060682c9c70d4d30c83c51448f4eedMD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/8436524c-b205-4bd9-9e04-4c204aba2b9c/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTGiraldoHernan_2014_Integer_Sequences_Partitions.pdf.txtGiraldoHernan_2014_Integer_Sequences_Partitions.pdf.txtExtracted texttext/plain26770https://bibliotecadigital.udea.edu.co/bitstreams/b6f8b194-2942-4d1c-b104-52bd71f13082/downloadc218a5b0babe2e7a05f41300567a51ddMD54falseAnonymousREADTHUMBNAILGiraldoHernan_2014_Integer_Sequences_Partitions.pdf.jpgGiraldoHernan_2014_Integer_Sequences_Partitions.pdf.jpgGenerated Thumbnailimage/jpeg8420https://bibliotecadigital.udea.edu.co/bitstreams/10056c3b-f8ed-4f27-b163-475489c3b730/downloada6df5c1cba138783ff2facde62b0f1a9MD55falseAnonymousREAD10495/44297oai:bibliotecadigital.udea.edu.co:10495/442972025-03-27 00:47:30.45http://creativecommons.org/licenses/by-nc-sa/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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