Some homological properties of Jordan plane
The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphis...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Pedagógica y Tecnológica de Colombia
- Repositorio:
- RiUPTC: Repositorio Institucional UPTC
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.uptc.edu.co:001/15251
- Acceso en línea:
- https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140
https://repositorio.uptc.edu.co/handle/001/15251
- Palabra clave:
- Plano de Jordan
álgebras Artin-Schelter regulares
álgebras Calabi-Yau torcidas
automorfismo de Nakayama
Álgebra
Jordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphism
- Rights
- License
- Derechos de autor 2018 CIENCIA EN DESARROLLO
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2018-07-042024-07-08T14:23:55Z2024-07-08T14:23:55Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/814010.19053/01217488.v9.n2.2018.8140https://repositorio.uptc.edu.co/handle/001/15251The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphism is explicitly calculated.El plano de Jordan puede ser visto como un álgebra cociente, como una extensión de Ore graduada y como unaextensión PBW torcida graduada. Usando estas interpretaciones, se muestra de forma explícita que el plano de Jordan es un álgebra Artin-Schelter regular y Calabi-Yau torcida, además se calcula de forma explícita su automorfismo de Nakayama.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140/7259Derechos de autor 2018 CIENCIA EN DESARROLLOhttp://purl.org/coar/access_right/c_abf2Ciencia En Desarrollo; Vol. 9 No. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-82Ciencia en Desarrollo; Vol. 9 Núm. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-822462-76580121-7488Plano de Jordanálgebras Artin-Schelter regularesálgebras Calabi-Yau torcidasautomorfismo de NakayamaÁlgebraJordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphismSome homological properties of Jordan planeAlgunas propiedades homológicas del plano de Jordaninfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Suárez Suárez, Hector JulioGómez Parada, Jonatan Andrés001/15251oai:repositorio.uptc.edu.co:001/152512025-07-18 10:56:46.236metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co |
| dc.title.en-US.fl_str_mv |
Some homological properties of Jordan plane |
| dc.title.es-ES.fl_str_mv |
Algunas propiedades homológicas del plano de Jordan |
| title |
Some homological properties of Jordan plane |
| spellingShingle |
Some homological properties of Jordan plane Plano de Jordan álgebras Artin-Schelter regulares álgebras Calabi-Yau torcidas automorfismo de Nakayama Álgebra Jordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphism |
| title_short |
Some homological properties of Jordan plane |
| title_full |
Some homological properties of Jordan plane |
| title_fullStr |
Some homological properties of Jordan plane |
| title_full_unstemmed |
Some homological properties of Jordan plane |
| title_sort |
Some homological properties of Jordan plane |
| dc.subject.es-ES.fl_str_mv |
Plano de Jordan álgebras Artin-Schelter regulares álgebras Calabi-Yau torcidas automorfismo de Nakayama Álgebra |
| topic |
Plano de Jordan álgebras Artin-Schelter regulares álgebras Calabi-Yau torcidas automorfismo de Nakayama Álgebra Jordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphism |
| dc.subject.en-US.fl_str_mv |
Jordan plane, Artin-Schelter regular algebras, skew Calabi-Yau algebras, Nakayama automorphism |
| description |
The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a skew Calabi-Yau algebra, in addition its Nakayama automorphism is explicitly calculated. |
| publishDate |
2018 |
| dc.date.accessioned.none.fl_str_mv |
2024-07-08T14:23:55Z |
| dc.date.available.none.fl_str_mv |
2024-07-08T14:23:55Z |
| dc.date.none.fl_str_mv |
2018-07-04 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article |
| 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_2df8fbb1 |
| dc.identifier.none.fl_str_mv |
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140 10.19053/01217488.v9.n2.2018.8140 |
| dc.identifier.uri.none.fl_str_mv |
https://repositorio.uptc.edu.co/handle/001/15251 |
| url |
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140 https://repositorio.uptc.edu.co/handle/001/15251 |
| identifier_str_mv |
10.19053/01217488.v9.n2.2018.8140 |
| dc.language.none.fl_str_mv |
spa |
| dc.language.iso.none.fl_str_mv |
spa |
| language |
spa |
| dc.relation.none.fl_str_mv |
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140/7259 |
| dc.rights.es-ES.fl_str_mv |
Derechos de autor 2018 CIENCIA EN DESARROLLO |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| rights_invalid_str_mv |
Derechos de autor 2018 CIENCIA EN DESARROLLO http://purl.org/coar/access_right/c_abf2 |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.es-ES.fl_str_mv |
Universidad Pedagógica y Tecnológica de Colombia |
| dc.source.en-US.fl_str_mv |
Ciencia En Desarrollo; Vol. 9 No. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-82 |
| dc.source.es-ES.fl_str_mv |
Ciencia en Desarrollo; Vol. 9 Núm. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-82 |
| dc.source.none.fl_str_mv |
2462-7658 0121-7488 |
| institution |
Universidad Pedagógica y Tecnológica de Colombia |
| repository.name.fl_str_mv |
Repositorio Institucional UPTC |
| repository.mail.fl_str_mv |
repositorio.uptc@uptc.edu.co |
| _version_ |
1839633892005380096 |