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...
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2018
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140 |
| _version_ | 1801706342395674624 |
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| author | Suárez Suárez, Hector Julio Gómez Parada, Jonatan Andrés |
| author_facet | Suárez Suárez, Hector Julio Gómez Parada, Jonatan Andrés |
| author_sort | Suárez Suárez, Hector Julio |
| collection | OJS |
| 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. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-8140 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2018 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-81402022-06-15T17:03:10Z Some homological properties of Jordan plane Algunas propiedades homológicas del plano de Jordan Suárez Suárez, Hector Julio Gómez Parada, Jonatan Andrés 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 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. 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. Universidad Pedagógica y Tecnológica de Colombia 2018-07-04 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140 10.19053/01217488.v9.n2.2018.8140 Ciencia En Desarrollo; Vol. 9 No. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-82 Ciencia en Desarrollo; Vol. 9 Núm. 2 (2018): Vol 9, Núm. 2 (2018): Vol 9, Núm 2(2018): Julio- Diciembre; 69-82 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140/7259 Derechos de autor 2018 CIENCIA EN DESARROLLO |
| spellingShingle | 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 Suárez Suárez, Hector Julio Gómez Parada, Jonatan Andrés Some homological properties of Jordan plane |
| title | Some homological properties of Jordan plane |
| title_alt | Algunas propiedades homológicas del plano de Jordan |
| 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_short | Some homological properties of Jordan plane |
| title_sort | some homological properties of jordan plane |
| 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 |
| topic_facet | 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 |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8140 |
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