The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring

[EN] Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M) having the Zariski topology on the grade...

Descripción completa

Detalles Bibliográficos
Autores: Salam, Saif, Al-Zoubi, Khaldoun
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/187136
Acceso en línea:https://riunet.upv.es/handle/10251/187136
Access Level:acceso abierto
Palabra clave:Graded primary submodules
Graded primary spectrum
Zariski topology
id ES_aa00bb73cb57ff0fd147e4af361f89fd
oai_identifier_str oai:riunet.upv.es:10251/187136
network_acronym_str ES
network_name_str España
repository_id_str
spelling The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ringSalam, SaifAl-Zoubi, KhaldounGraded primary submodulesGraded primary spectrumZariski topology[EN] Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M) having the Zariski topology on the graded prime spectrum SpecG(M) as a subspace topology, and investigate several topological properties of this topological space.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-10-03journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/187136reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1871362026-06-13T07:49:27Z
dc.title.none.fl_str_mv The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
title The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
spellingShingle The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
Salam, Saif
Graded primary submodules
Graded primary spectrum
Zariski topology
title_short The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
title_full The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
title_fullStr The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
title_full_unstemmed The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
title_sort The Zariski topology on the graded primary spectrum of a graded module over a graded commutative ring
dc.creator.none.fl_str_mv Salam, Saif
Al-Zoubi, Khaldoun
author Salam, Saif
author_facet Salam, Saif
Al-Zoubi, Khaldoun
author_role author
author2 Al-Zoubi, Khaldoun
author2_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Graded primary submodules
Graded primary spectrum
Zariski topology
topic Graded primary submodules
Graded primary spectrum
Zariski topology
description [EN] Let R be a G-graded ring and M be a G-graded R-module. We define the graded primary spectrum of M, denoted by PSG(M), to be the set of all graded primary submodules Q of M such that (GrM(Q) :RM) = Gr((Q:RM)). In this paper, we define a topology on PSG(M) having the Zariski topology on the graded prime spectrum SpecG(M) as a subspace topology, and investigate several topological properties of this topological space.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-10-03
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/187136
url https://riunet.upv.es/handle/10251/187136
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416106800709632
score 15,300719

Similares en LA Referencia