Nakayama Automorphism of Some Skew PBW Extensions

Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn⟩ a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R. We calculate explicitly the Nakayama automorphism of some...

Full description

Autores:
Suárez, Héctor
Reyes, Armando
Tipo de recurso:
Fecha de publicación:
2019
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/14378
Acceso en línea:
http://hdl.handle.net/10784/14378
Palabra clave:
Skew Pbw Extensions
Nakayama Automorphism
Artin- Schelter Regular Algebras
Calabi-Yau Algebras
Extensiones Pbw Torcidas
Automorfismo De Nakayama
Álgebras Artin-Schelter Regulares
Álgebras Calabi-Yau
Rights
License
Copyright (c) 2019 Héctor Suárez, Armando Reyes
id REPOEAFIT2_0bca5549216d4c58c1b16c6fce7da87f
oai_identifier_str oai:repository.eafit.edu.co:10784/14378
network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
spelling Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees2019-06-042019-11-22T16:03:59Z2019-06-042019-11-22T16:03:59Z2256-43141794-9165http://hdl.handle.net/10784/1437810.17230/ingciencia.15.29.6Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn⟩ a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R. We calculate explicitly the Nakayama automorphism of some skew PBW extensions.Sean R un álgebra Artin-Schelter regular y A = σ(R)⟨x1,...,xn⟩ una extensión PBW torcida cuasi-conmutativa graduada sobre R. En este artículo se describe el automorfismo de Nakayama de A usando el automorfismo de Nakayama del anillo de coeficientes R. También se calcula explícitamente el automorfismo de Nakayama de algunas extensiones PBW torcidas.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5334http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5334Copyright (c) 2019 Héctor Suárez, Armando ReyesAcceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 15, No 29 (2019)Nakayama Automorphism of Some Skew PBW ExtensionsEl automorfismo de Nakayama de algunas extensiones PBW torcidasarticleinfo:eu-repo/semantics/articlepublishedVersioninfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Skew Pbw ExtensionsNakayama AutomorphismArtin- Schelter Regular AlgebrasCalabi-Yau AlgebrasExtensiones Pbw TorcidasAutomorfismo De NakayamaÁlgebras Artin-Schelter RegularesÁlgebras Calabi-YauSuárez, HéctorReyes, ArmandoUniversidad Pedagógica y Tecnológica de ColombiaUniversidad Nacional de ColombiaIngeniería y Ciencia1529157177ing.cienc.THUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/3c27c8df-f93c-40d9-ae36-c411a23a50a8/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINALdocument (4).pdfdocument (4).pdfTexto completo PDFapplication/pdf589363https://repository.eafit.edu.co/bitstreams/c603762d-b0bf-491f-8fd6-e0a1f2d70921/download991b5be2e676df6197a240aebe23b1bcMD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/5aa303f3-8d0c-4b63-ac17-3c75880464e0/downloade415347221376d2a5fbdf8b6b93b0ac1MD5310784/14378oai:repository.eafit.edu.co:10784/143782020-09-02 13:37:09.443open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Nakayama Automorphism of Some Skew PBW Extensions
dc.title.spa.fl_str_mv El automorfismo de Nakayama de algunas extensiones PBW torcidas
title Nakayama Automorphism of Some Skew PBW Extensions
spellingShingle Nakayama Automorphism of Some Skew PBW Extensions
Skew Pbw Extensions
Nakayama Automorphism
Artin- Schelter Regular Algebras
Calabi-Yau Algebras
Extensiones Pbw Torcidas
Automorfismo De Nakayama
Álgebras Artin-Schelter Regulares
Álgebras Calabi-Yau
title_short Nakayama Automorphism of Some Skew PBW Extensions
title_full Nakayama Automorphism of Some Skew PBW Extensions
title_fullStr Nakayama Automorphism of Some Skew PBW Extensions
title_full_unstemmed Nakayama Automorphism of Some Skew PBW Extensions
title_sort Nakayama Automorphism of Some Skew PBW Extensions
dc.creator.fl_str_mv Suárez, Héctor
Reyes, Armando
dc.contributor.author.spa.fl_str_mv Suárez, Héctor
Reyes, Armando
dc.contributor.affiliation.spa.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
Universidad Nacional de Colombia
dc.subject.keyword.eng.fl_str_mv Skew Pbw Extensions
Nakayama Automorphism
Artin- Schelter Regular Algebras
Calabi-Yau Algebras
topic Skew Pbw Extensions
Nakayama Automorphism
Artin- Schelter Regular Algebras
Calabi-Yau Algebras
Extensiones Pbw Torcidas
Automorfismo De Nakayama
Álgebras Artin-Schelter Regulares
Álgebras Calabi-Yau
dc.subject.keyword.spa.fl_str_mv Extensiones Pbw Torcidas
Automorfismo De Nakayama
Álgebras Artin-Schelter Regulares
Álgebras Calabi-Yau
description Let R be an Artin-Schelter regular algebra and A = σ(R)⟨x1,...,xn⟩ a graded quasi-commutative skew PBW extension over R. In this paper we describe the Nakayama automorphism of A using the Nakayama automor- phism of the ring of coefficients R. We calculate explicitly the Nakayama automorphism of some skew PBW extensions.
publishDate 2019
dc.date.available.none.fl_str_mv 2019-11-22T16:03:59Z
dc.date.issued.none.fl_str_mv 2019-06-04
dc.date.accessioned.none.fl_str_mv 2019-11-22T16:03:59Z
dc.date.none.fl_str_mv 2019-06-04
dc.type.eng.fl_str_mv article
info:eu-repo/semantics/article
publishedVersion
info:eu-repo/semantics/publishedVersion
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 2256-4314
1794-9165
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/14378
dc.identifier.doi.none.fl_str_mv 10.17230/ingciencia.15.29.6
identifier_str_mv 2256-4314
1794-9165
10.17230/ingciencia.15.29.6
url http://hdl.handle.net/10784/14378
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.isversionof.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5334
dc.relation.uri.none.fl_str_mv http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/5334
dc.rights.eng.fl_str_mv Copyright (c) 2019 Héctor Suárez, Armando Reyes
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.local.spa.fl_str_mv Acceso abierto
rights_invalid_str_mv Copyright (c) 2019 Héctor Suárez, Armando Reyes
Acceso abierto
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.coverage.spatial.eng.fl_str_mv Medellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.publisher.spa.fl_str_mv Universidad EAFIT
dc.source.none.fl_str_mv instname:Universidad EAFIT
reponame:Repositorio Institucional Universidad EAFIT
dc.source.spa.fl_str_mv Ingeniería y Ciencia; Vol 15, No 29 (2019)
instname_str Universidad EAFIT
institution Universidad EAFIT
reponame_str Repositorio Institucional Universidad EAFIT
collection Repositorio Institucional Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/3c27c8df-f93c-40d9-ae36-c411a23a50a8/download
https://repository.eafit.edu.co/bitstreams/c603762d-b0bf-491f-8fd6-e0a1f2d70921/download
https://repository.eafit.edu.co/bitstreams/5aa303f3-8d0c-4b63-ac17-3c75880464e0/download
bitstream.checksum.fl_str_mv da9b21a5c7e00c7f1127cef8e97035e0
991b5be2e676df6197a240aebe23b1bc
e415347221376d2a5fbdf8b6b93b0ac1
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
repository.mail.fl_str_mv repositorio@eafit.edu.co
_version_ 1808498890733780992