A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2)
ABSTRACT: We consider a fnite-dimensional Jordan superalgebra A over a feld of characteristic zero F such that N is the solvable radical of A. We proved that if N 2 = 0 and A∕N is isomorphic to simple Jordan superalgebra of Grassmann Poisson bracket Kan(2), then an analogous to Wedderburn Principal...
- Autores:
-
Gómez González, Faber Alberto
Ramírez Bermúdez, Jhon Alexander
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2023
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/35887
- Acceso en línea:
- https://hdl.handle.net/10495/35887
- Palabra clave:
- Superalgebras
http://id.loc.gov/authorities/subjects/sh94002765
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
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| dc.title.spa.fl_str_mv |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| title |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| spellingShingle |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) Superalgebras http://id.loc.gov/authorities/subjects/sh94002765 |
| title_short |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| title_full |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| title_fullStr |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| title_full_unstemmed |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| title_sort |
A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2) |
| dc.creator.fl_str_mv |
Gómez González, Faber Alberto Ramírez Bermúdez, Jhon Alexander |
| dc.contributor.author.none.fl_str_mv |
Gómez González, Faber Alberto Ramírez Bermúdez, Jhon Alexander |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.lcsh.none.fl_str_mv |
Superalgebras |
| topic |
Superalgebras http://id.loc.gov/authorities/subjects/sh94002765 |
| dc.subject.lcshuri.none.fl_str_mv |
http://id.loc.gov/authorities/subjects/sh94002765 |
| description |
ABSTRACT: We consider a fnite-dimensional Jordan superalgebra A over a feld of characteristic zero F such that N is the solvable radical of A. We proved that if N 2 = 0 and A∕N is isomorphic to simple Jordan superalgebra of Grassmann Poisson bracket Kan(2), then an analogous to Wedderburn Principal Theorem (WPT) holds. |
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2023 |
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2023-07-12T15:46:41Z |
| dc.date.available.none.fl_str_mv |
2023-07-12T15:46:41Z |
| dc.date.issued.none.fl_str_mv |
2023 |
| dc.type.spa.fl_str_mv |
Artículo de investigación |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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González, F.A.G., Bermúdez, J.A.R. A decomposition theorem for finite-dimensional Jordan superalgebras whose simple part is Kan(2) . São Paulo J. Math. Sci. (2023). https://doi.org/10.1007/s40863-023-00367-7 |
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1982-6907 |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10495/35887 |
| dc.identifier.doi.none.fl_str_mv |
10.1007/s40863-023-00367-7 |
| dc.identifier.eissn.none.fl_str_mv |
2316-9028 |
| identifier_str_mv |
González, F.A.G., Bermúdez, J.A.R. A decomposition theorem for finite-dimensional Jordan superalgebras whose simple part is Kan(2) . São Paulo J. Math. Sci. (2023). https://doi.org/10.1007/s40863-023-00367-7 1982-6907 10.1007/s40863-023-00367-7 2316-9028 |
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https://hdl.handle.net/10495/35887 |
| dc.language.iso.spa.fl_str_mv |
eng |
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eng |
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São Paulo J. Math. Sci. |
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16 |
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1 |
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São Paulo Journal of Mathematical Sciences |
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http://creativecommons.org/licenses/by/2.5/co/ |
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https://creativecommons.org/licenses/by/4.0/ |
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Springer |
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São Paulo, Brasil |
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Universidad de Antioquia |
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Gómez González, Faber AlbertoRamírez Bermúdez, Jhon AlexanderÁlgebra U de A2023-07-12T15:46:41Z2023-07-12T15:46:41Z2023González, F.A.G., Bermúdez, J.A.R. A decomposition theorem for finite-dimensional Jordan superalgebras whose simple part is Kan(2) . São Paulo J. Math. Sci. (2023). https://doi.org/10.1007/s40863-023-00367-71982-6907https://hdl.handle.net/10495/3588710.1007/s40863-023-00367-72316-9028ABSTRACT: We consider a fnite-dimensional Jordan superalgebra A over a feld of characteristic zero F such that N is the solvable radical of A. We proved that if N 2 = 0 and A∕N is isomorphic to simple Jordan superalgebra of Grassmann Poisson bracket Kan(2), then an analogous to Wedderburn Principal Theorem (WPT) holds.Universidad de Antioquia. Vicerrectoría de investigación. Comité para el Desarrollo de la Investigación - CODICOL008689616application/pdfengSpringerSão Paulo, Brasilhttp://creativecommons.org/licenses/by/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Superalgebrashttp://id.loc.gov/authorities/subjects/sh94002765A decomposition theorem for fnite‐dimensional Jordan superalgebras whose simple part is Kan(2)Artículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85São Paulo J. Math. 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