Hopf algebras and skew PBW extensions
In this article we relate some Hopf algebra structures over Ore extensions and over skew PBW extensions of a Hopf algebra. These relations are illustrated with examples. We also show that Hopf Ore extensions and generalized Hopf Ore extensions are Hopf skew PBW extensions.
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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2019
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8797 |
| _version_ | 1801706344456126464 |
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| author | Salcedo Plazas, Luis Alfonso |
| author_facet | Salcedo Plazas, Luis Alfonso |
| author_sort | Salcedo Plazas, Luis Alfonso |
| collection | OJS |
| description | In this article we relate some Hopf algebra structures over Ore extensions and over skew PBW extensions of a Hopf algebra. These relations are illustrated with examples. We also show that Hopf Ore extensions and generalized Hopf Ore extensions are Hopf skew PBW extensions. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-8797 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2019 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-87972020-11-11T02:06:43Z Hopf algebras and skew PBW extensions Álgebras de Hopf y extensiones PBW torcidas Salcedo Plazas, Luis Alfonso Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones de Ore generalizadas Hopf algebras, skew PBW extensions, Hopf Ore extensions, generalized Hopf Ore extensions In this article we relate some Hopf algebra structures over Ore extensions and over skew PBW extensions of a Hopf algebra. These relations are illustrated with examples. We also show that Hopf Ore extensions and generalized Hopf Ore extensions are Hopf skew PBW extensions. En este artículo se relacionan algunas estructuras de álgebra de Hopf sobre extensiones de Ore y extensiones PBW torcidas de un álgebra de Hopf. Estas relaciones son ilustradas con ejemplos. También se demuestr que las extensiones Hopf Ore y las extensiones Hopf Ore generalizadas son extensiones PBW torcidas de Hopf. Universidad Pedagógica y Tecnológica de Colombia 2019-07-23 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion pdf, rar application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8797 10.19053/01217488.v10.n2.2019.8797 Ciencia En Desarrollo; Vol. 10 No. 2 (2019): Vol 10, Núm. 2 (2019): Julio - Diciembre; 125-135 Ciencia en Desarrollo; Vol. 10 Núm. 2 (2019): Vol 10, Núm. 2 (2019): Julio - Diciembre; 125-135 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8797/8665 |
| spellingShingle | Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones de Ore generalizadas Hopf algebras, skew PBW extensions, Hopf Ore extensions, generalized Hopf Ore extensions Salcedo Plazas, Luis Alfonso Hopf algebras and skew PBW extensions |
| title | Hopf algebras and skew PBW extensions |
| title_alt | Álgebras de Hopf y extensiones PBW torcidas |
| title_full | Hopf algebras and skew PBW extensions |
| title_fullStr | Hopf algebras and skew PBW extensions |
| title_full_unstemmed | Hopf algebras and skew PBW extensions |
| title_short | Hopf algebras and skew PBW extensions |
| title_sort | hopf algebras and skew pbw extensions |
| topic | Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones de Ore generalizadas Hopf algebras, skew PBW extensions, Hopf Ore extensions, generalized Hopf Ore extensions |
| topic_facet | Álgebras de Hopf, extensiones PBW torcidas, extensiones de Ore, extensiones de Ore generalizadas Hopf algebras, skew PBW extensions, Hopf Ore extensions, generalized Hopf Ore extensions |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/8797 |
| work_keys_str_mv | AT salcedoplazasluisalfonso hopfalgebrasandskewpbwextensions AT salcedoplazasluisalfonso algebrasdehopfyextensionespbwtorcidas |
