Two homological problems on skew PBW extensions arising in non commutative algebraic geometry

Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly noetherian algebras, we make an introduction to the non-commutative algebraic geom...

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Autores:
Venegas Ramirez, Helbert Javier
Tipo de recurso:
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/58022
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/58022
http://bdigital.unal.edu.co/54554/
Palabra clave:
51 Matemáticas / Mathematics
Skew P BW extensions
Filtered-graded rings
Auslander regularity condition
Cohen-Macaulay rings
Strongly noetherian algebras
Point modules
Extensiones P BW torcidas
Condiciones de regularidad de Auslander
Anillos Cohen-Macaulay
Álgebras fuertemente noetherianas
Módulos de puntos
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_59795e125ce540dfc3270670289a3394
oai_identifier_str oai:repositorio.unal.edu.co:unal/58022
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repository_id_str
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_abf2Lezama, OswaldoVenegas Ramirez, Helbert Javierf872a3fb-6868-4866-afd4-4857848e67bd3002019-07-02T13:32:46Z2019-07-02T13:32:46Z2016-08-11https://repositorio.unal.edu.co/handle/unal/58022http://bdigital.unal.edu.co/54554/Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly noetherian algebras, we make an introduction to the non-commutative algebraic geometry of finitely graded algebras via its point modules.En este trabajo estudiamos condiciones de regularidad de Auslander y la propiedad fuertemente noetheriana para las extensiones P BW torcidas. La condición de Cohen-Macaulay también es analizada. Adicionalmente, y como aplicación de las álgebras fuertemente noetherianas, hacemos una introducción a la geometría algebraica no conmutativa de las álgebras finitamente graduadas a través de los módulos de puntos.Maestríaapplication/pdfspaUniversidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de MatemáticasDepartamento de MatemáticasVenegas Ramirez, Helbert Javier (2016) Two homological problems on skew PBW extensions arising in non commutative algebraic geometry. Maestría thesis, Universidad Nacional de Colombia- Sede Bogotá.51 Matemáticas / MathematicsSkew P BW extensionsFiltered-graded ringsAuslander regularity conditionCohen-Macaulay ringsStrongly noetherian algebrasPoint modulesExtensiones P BW torcidasCondiciones de regularidad de AuslanderAnillos Cohen-MacaulayÁlgebras fuertemente noetherianasMódulos de puntosTwo homological problems on skew PBW extensions arising in non commutative algebraic geometryTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMORIGINAL1070009632.2016.pdfapplication/pdf727683https://repositorio.unal.edu.co/bitstream/unal/58022/1/1070009632.2016.pdfa77466a9ce084a574ba5eca947dd3c56MD51THUMBNAIL1070009632.2016.pdf.jpg1070009632.2016.pdf.jpgGenerated Thumbnailimage/jpeg4381https://repositorio.unal.edu.co/bitstream/unal/58022/2/1070009632.2016.pdf.jpg9b065bb9a0def4de8bba611245790435MD52unal/58022oai:repositorio.unal.edu.co:unal/580222023-03-25 23:13:16.24Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
title Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
spellingShingle Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
51 Matemáticas / Mathematics
Skew P BW extensions
Filtered-graded rings
Auslander regularity condition
Cohen-Macaulay rings
Strongly noetherian algebras
Point modules
Extensiones P BW torcidas
Condiciones de regularidad de Auslander
Anillos Cohen-Macaulay
Álgebras fuertemente noetherianas
Módulos de puntos
title_short Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
title_full Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
title_fullStr Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
title_full_unstemmed Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
title_sort Two homological problems on skew PBW extensions arising in non commutative algebraic geometry
dc.creator.fl_str_mv Venegas Ramirez, Helbert Javier
dc.contributor.author.spa.fl_str_mv Venegas Ramirez, Helbert Javier
dc.contributor.spa.fl_str_mv Lezama, Oswaldo
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Skew P BW extensions
Filtered-graded rings
Auslander regularity condition
Cohen-Macaulay rings
Strongly noetherian algebras
Point modules
Extensiones P BW torcidas
Condiciones de regularidad de Auslander
Anillos Cohen-Macaulay
Álgebras fuertemente noetherianas
Módulos de puntos
dc.subject.proposal.spa.fl_str_mv Skew P BW extensions
Filtered-graded rings
Auslander regularity condition
Cohen-Macaulay rings
Strongly noetherian algebras
Point modules
Extensiones P BW torcidas
Condiciones de regularidad de Auslander
Anillos Cohen-Macaulay
Álgebras fuertemente noetherianas
Módulos de puntos
description Abstract. In this work we study Auslander regularity conditions and the strongly noetherian property for the skew P BW extensions. The Cohen-Macaulay condition is also analyzed. In addition, as application of strongly noetherian algebras, we make an introduction to the non-commutative algebraic geometry of finitely graded algebras via its point modules.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-08-11
dc.date.accessioned.spa.fl_str_mv 2019-07-02T13:32:46Z
dc.date.available.spa.fl_str_mv 2019-07-02T13:32:46Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/58022
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/54554/
url https://repositorio.unal.edu.co/handle/unal/58022
http://bdigital.unal.edu.co/54554/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas
Departamento de Matemáticas
dc.relation.references.spa.fl_str_mv Venegas Ramirez, Helbert Javier (2016) Two homological problems on skew PBW extensions arising in non commutative algebraic geometry. Maestría thesis, Universidad Nacional de Colombia- Sede Bogotá.
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
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
dc.format.mimetype.spa.fl_str_mv application/pdf
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/58022/1/1070009632.2016.pdf
https://repositorio.unal.edu.co/bitstream/unal/58022/2/1070009632.2016.pdf.jpg
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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