A igualdade de Auslander-Buchsbaum.

Detalhes bibliográficos
Autor(a) principal: Macedo, Ricardo Burity Croccia.
Data de Publicação: 2012
Tipo de documento: Trabalho de conclusão de curso
Idioma: por
Título da fonte: Repositório Institucional da UFPB
Texto Completo: https://repositorio.ufpb.br/jspui/handle/123456789/23
Resumo: A clássica igualdade de Auslander-Buchsbaum fornece uma relação entre dois invariantes algébricos fundamentais: profundidade e dimensão homológica. Nosso objetivo será demonstrar tal resultado e aplicá-lo no contexto de derivações logarítmicas.
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spelling 2012-08-14T17:10:35Z2012-08-14T17:10:35Z2012-08-14https://repositorio.ufpb.br/jspui/handle/123456789/23A clássica igualdade de Auslander-Buchsbaum fornece uma relação entre dois invariantes algébricos fundamentais: profundidade e dimensão homológica. Nosso objetivo será demonstrar tal resultado e aplicá-lo no contexto de derivações logarítmicas.The classical Auslander-Buchsbaum equality furnishes a relationship between two fundamental algebraic nvariants: depth and homological dimension. Our goal will be to prove such result and to apply it into the context of logarithmic derivations.Submitted by Rosilene Machado (rosilenefmachado@gmail.com) on 2012-08-14T17:10:35Z No. of bitstreams: 1 MRBC14082012.pdf: 740601 bytes, checksum: 570a9102008c79a7db8998a189e19b1a (MD5)Made available in DSpace on 2012-08-14T17:10:35Z (GMT). No. of bitstreams: 1 MRBC14082012.pdf: 740601 bytes, checksum: 570a9102008c79a7db8998a189e19b1a (MD5)João Pessoa, PB, 2011.Álgebra homológicaDerivação logarítmicaAuslander-BuchsbaumHomologous algebraLogarithmic derivationA igualdade de Auslander-Buchsbaum.info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/bachelorThesisMiranda Neto, Cleto Brasileiro.Macedo, Ricardo Burity Croccia.Matemáticaporreponame:Repositório Institucional da UFPBinstname:Universidade Federal da Paraíba (UFPB)instacron:UFPBinfo:eu-repo/semantics/openAccessTHUMBNAILRBCM14082012.pdf.jpgRBCM14082012.pdf.jpgIM Thumbnailimage/jpeg3354https://repositorio.ufpb.br/jspui/bitstream/123456789/23/7/RBCM14082012.pdf.jpg7115e70de916a509ed59d17ea0bdf831MD57TEXTRBCM14082012.pdf.txtRBCM14082012.pdf.txtExtracted texttext/plain86305https://repositorio.ufpb.br/jspui/bitstream/123456789/23/6/RBCM14082012.pdf.txtfb54d0c5aac2c034fa61793fd92198d3MD56LICENSElicense.txtlicense.txttext/plain; charset=utf-81784https://repositorio.ufpb.br/jspui/bitstream/123456789/23/2/license.txt82c2f88b8007164a64e9b9207328aedfMD52ORIGINALRBCM14082012.pdfRBCM14082012.pdfapplication/pdf740601https://repositorio.ufpb.br/jspui/bitstream/123456789/23/3/RBCM14082012.pdf570a9102008c79a7db8998a189e19b1aMD53123456789/232018-09-05 20:31:42.328oai:repositorio.ufpb.br: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Repositório InstitucionalPUBhttps://repositorio.ufpb.br/oai/requestdiretoria@ufpb.bropendoar:25462018-09-05T23:31:42Repositório Institucional da UFPB - Universidade Federal da Paraíba (UFPB)false
dc.title.pt_BR.fl_str_mv A igualdade de Auslander-Buchsbaum.
title A igualdade de Auslander-Buchsbaum.
spellingShingle A igualdade de Auslander-Buchsbaum.
Macedo, Ricardo Burity Croccia.
Álgebra homológica
Derivação logarítmica
Auslander-Buchsbaum
Homologous algebra
Logarithmic derivation
title_short A igualdade de Auslander-Buchsbaum.
title_full A igualdade de Auslander-Buchsbaum.
title_fullStr A igualdade de Auslander-Buchsbaum.
title_full_unstemmed A igualdade de Auslander-Buchsbaum.
title_sort A igualdade de Auslander-Buchsbaum.
author Macedo, Ricardo Burity Croccia.
author_facet Macedo, Ricardo Burity Croccia.
author_role author
dc.contributor.advisor1.fl_str_mv Miranda Neto, Cleto Brasileiro.
dc.contributor.author.fl_str_mv Macedo, Ricardo Burity Croccia.
contributor_str_mv Miranda Neto, Cleto Brasileiro.
dc.subject.por.fl_str_mv Álgebra homológica
Derivação logarítmica
Auslander-Buchsbaum
Homologous algebra
Logarithmic derivation
topic Álgebra homológica
Derivação logarítmica
Auslander-Buchsbaum
Homologous algebra
Logarithmic derivation
description A clássica igualdade de Auslander-Buchsbaum fornece uma relação entre dois invariantes algébricos fundamentais: profundidade e dimensão homológica. Nosso objetivo será demonstrar tal resultado e aplicá-lo no contexto de derivações logarítmicas.
publishDate 2012
dc.date.accessioned.fl_str_mv 2012-08-14T17:10:35Z
dc.date.available.fl_str_mv 2012-08-14T17:10:35Z
dc.date.issued.fl_str_mv 2012-08-14
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/bachelorThesis
format bachelorThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://repositorio.ufpb.br/jspui/handle/123456789/23
url https://repositorio.ufpb.br/jspui/handle/123456789/23
dc.language.iso.fl_str_mv por
language por
dc.relation.ispartofseries.none.fl_str_mv João Pessoa, PB, 2011.
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.department.fl_str_mv Matemática
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFPB
instname:Universidade Federal da Paraíba (UFPB)
instacron:UFPB
instname_str Universidade Federal da Paraíba (UFPB)
instacron_str UFPB
institution UFPB
reponame_str Repositório Institucional da UFPB
collection Repositório Institucional da UFPB
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