Central quasipolar rings
In this paper, we introduce a kind of quasipolarity notion for rings, namely, an element a of a ring R is called central quasipolar if there exists p2 = p ∈ R such that a + p is central in R, and the ring R is called central quasipolar if every element of R is central quasipolar. We give many charac...
- Autores:
-
Calci, Mete B.
Ungor, Burcu
Harmanci, Abdullah
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/66462
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/66462
http://bdigital.unal.edu.co/67490/
- Palabra clave:
- 51 Matemáticas / Mathematics
Quasipolar ring
central quasipolar ring
clean ring
central clean ring
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| id |
UNACIONAL2_ab36f1ff05356870dfb8b72892bde994 |
|---|---|
| oai_identifier_str |
oai:repositorio.unal.edu.co:unal/66462 |
| network_acronym_str |
UNACIONAL2 |
| network_name_str |
Universidad Nacional de Colombia |
| 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_abf2Calci, Mete B.0a8c08b2-aab7-455f-939e-ca473121264e300Ungor, Burcuf6335466-83d5-47cb-b3c9-537f7167ed05300Harmanci, Abdullahb5dbab7b-b7de-46bf-8b1c-7800403c66da3002019-07-03T02:10:25Z2019-07-03T02:10:25Z2015-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66462http://bdigital.unal.edu.co/67490/In this paper, we introduce a kind of quasipolarity notion for rings, namely, an element a of a ring R is called central quasipolar if there exists p2 = p ∈ R such that a + p is central in R, and the ring R is called central quasipolar if every element of R is central quasipolar. We give many characterizations and investigate general properties of central quasipolar rings. We determine the conditions that some subrings of upper triangular matrix rings are central quasipolar. A diagonal matrix over a local ring is characterized in terms of being central quasipolar. We prove that the class of central quasipolar rings lies between the classes of commutative rings and Dedekind nite rings, and a ring R is central quasipolar if and only if it is central clean. Further we show that several results of quasipolar rings can be extended to central quasipolar rings in this general setting.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/60446Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasCalci, Mete B. and Ungor, Burcu and Harmanci, Abdullah (2015) Central quasipolar rings. Revista Colombiana de Matemáticas, 49 (2). pp. 281-292. ISSN 2357-410051 Matemáticas / MathematicsQuasipolar ringcentral quasipolar ringclean ringcentral clean ringCentral quasipolar ringsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL60446-307349-1-SM.pdfapplication/pdf378731https://repositorio.unal.edu.co/bitstream/unal/66462/1/60446-307349-1-SM.pdf732f9eb51571c1847023666eec687cf8MD51THUMBNAIL60446-307349-1-SM.pdf.jpg60446-307349-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4810https://repositorio.unal.edu.co/bitstream/unal/66462/2/60446-307349-1-SM.pdf.jpgcbd9d7a459b6bb8903ef130533e59247MD52unal/66462oai:repositorio.unal.edu.co:unal/664622024-05-16 23:09:28.295Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Central quasipolar rings |
| title |
Central quasipolar rings |
| spellingShingle |
Central quasipolar rings 51 Matemáticas / Mathematics Quasipolar ring central quasipolar ring clean ring central clean ring |
| title_short |
Central quasipolar rings |
| title_full |
Central quasipolar rings |
| title_fullStr |
Central quasipolar rings |
| title_full_unstemmed |
Central quasipolar rings |
| title_sort |
Central quasipolar rings |
| dc.creator.fl_str_mv |
Calci, Mete B. Ungor, Burcu Harmanci, Abdullah |
| dc.contributor.author.spa.fl_str_mv |
Calci, Mete B. Ungor, Burcu Harmanci, Abdullah |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics Quasipolar ring central quasipolar ring clean ring central clean ring |
| dc.subject.proposal.spa.fl_str_mv |
Quasipolar ring central quasipolar ring clean ring central clean ring |
| description |
In this paper, we introduce a kind of quasipolarity notion for rings, namely, an element a of a ring R is called central quasipolar if there exists p2 = p ∈ R such that a + p is central in R, and the ring R is called central quasipolar if every element of R is central quasipolar. We give many characterizations and investigate general properties of central quasipolar rings. We determine the conditions that some subrings of upper triangular matrix rings are central quasipolar. A diagonal matrix over a local ring is characterized in terms of being central quasipolar. We prove that the class of central quasipolar rings lies between the classes of commutative rings and Dedekind nite rings, and a ring R is central quasipolar if and only if it is central clean. Further we show that several results of quasipolar rings can be extended to central quasipolar rings in this general setting. |
| publishDate |
2015 |
| dc.date.issued.spa.fl_str_mv |
2015-07-01 |
| dc.date.accessioned.spa.fl_str_mv |
2019-07-03T02:10:25Z |
| dc.date.available.spa.fl_str_mv |
2019-07-03T02:10:25Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.content.spa.fl_str_mv |
Text |
| dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
| format |
http://purl.org/coar/resource_type/c_6501 |
| status_str |
publishedVersion |
| dc.identifier.issn.spa.fl_str_mv |
ISSN: 2357-4100 |
| dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/66462 |
| dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/67490/ |
| identifier_str_mv |
ISSN: 2357-4100 |
| url |
https://repositorio.unal.edu.co/handle/unal/66462 http://bdigital.unal.edu.co/67490/ |
| dc.language.iso.spa.fl_str_mv |
spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
https://revistas.unal.edu.co/index.php/recolma/article/view/60446 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.references.spa.fl_str_mv |
Calci, Mete B. and Ungor, Burcu and Harmanci, Abdullah (2015) Central quasipolar rings. Revista Colombiana de Matemáticas, 49 (2). pp. 281-292. ISSN 2357-4100 |
| 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 |
| dc.publisher.spa.fl_str_mv |
Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas |
| institution |
Universidad Nacional de Colombia |
| bitstream.url.fl_str_mv |
https://repositorio.unal.edu.co/bitstream/unal/66462/1/60446-307349-1-SM.pdf https://repositorio.unal.edu.co/bitstream/unal/66462/2/60446-307349-1-SM.pdf.jpg |
| bitstream.checksum.fl_str_mv |
732f9eb51571c1847023666eec687cf8 cbd9d7a459b6bb8903ef130533e59247 |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
| repository.mail.fl_str_mv |
repositorio_nal@unal.edu.co |
| _version_ |
1814090215934918656 |