Wedderburn principal theorem for Jordan superalgebras I
We consider finite dimensional Jordan super algebras J over an algebraically closed field of characteristic 0, with solvable radical N such that N 2 = 0 and J/N is a simple Jordan superalgebra of one of the following types: Kac K10, Kaplansky K3, superform or Dt. We prove that an analogue of the Wed...
- Autores:
-
Gómez González, Faber Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30998
- Acceso en línea:
- https://hdl.handle.net/10495/30998
- Palabra clave:
- Super álgebras de Jordan
Jordan simple super álgebra
Campo algebraico
Dimensión finita un campo
Subbimódulos irreducibles
- Rights
- openAccess
- License
- https://creativecommons.org/licenses/by-nc-nd/4.0/
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Wedderburn principal theorem for Jordan superalgebras I |
| title |
Wedderburn principal theorem for Jordan superalgebras I |
| spellingShingle |
Wedderburn principal theorem for Jordan superalgebras I Super álgebras de Jordan Jordan simple super álgebra Campo algebraico Dimensión finita un campo Subbimódulos irreducibles |
| title_short |
Wedderburn principal theorem for Jordan superalgebras I |
| title_full |
Wedderburn principal theorem for Jordan superalgebras I |
| title_fullStr |
Wedderburn principal theorem for Jordan superalgebras I |
| title_full_unstemmed |
Wedderburn principal theorem for Jordan superalgebras I |
| title_sort |
Wedderburn principal theorem for Jordan superalgebras I |
| dc.creator.fl_str_mv |
Gómez González, Faber Alberto |
| dc.contributor.author.none.fl_str_mv |
Gómez González, Faber Alberto |
| dc.contributor.researchgroup.spa.fl_str_mv |
Álgebra U de A |
| dc.subject.proposal.spa.fl_str_mv |
Super álgebras de Jordan Jordan simple super álgebra Campo algebraico Dimensión finita un campo Subbimódulos irreducibles |
| topic |
Super álgebras de Jordan Jordan simple super álgebra Campo algebraico Dimensión finita un campo Subbimódulos irreducibles |
| description |
We consider finite dimensional Jordan super algebras J over an algebraically closed field of characteristic 0, with solvable radical N such that N 2 = 0 and J/N is a simple Jordan superalgebra of one of the following types: Kac K10, Kaplansky K3, superform or Dt. We prove that an analogue of the Wedderburn Principal Theorem (WPT) holds if certain restrictions on the types of irreducible subbimodules of N are imposed, where N is considered as a J/N -bimodule. Using counterexamples, it is shown that the imposed restrictions are essential. |
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2018 |
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2018 |
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2022-09-30T19:45:55Z |
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2022-09-30T19:45:55Z |
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Artículo de investigación |
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0021-8693 |
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https://hdl.handle.net/10495/30998 |
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10.1016/j.jalgebra.2018.03.001 |
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1090-266X |
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0021-8693 10.1016/j.jalgebra.2018.03.001 1090-266X |
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https://hdl.handle.net/10495/30998 |
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eng |
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eng |
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J. Algebra. |
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32 |
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1 |
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505 |
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Journal of Algebra |
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32 páginas |
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Elsevier |
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Gómez González, Faber AlbertoÁlgebra U de A2022-09-30T19:45:55Z2022-09-30T19:45:55Z20180021-8693https://hdl.handle.net/10495/3099810.1016/j.jalgebra.2018.03.0011090-266XWe consider finite dimensional Jordan super algebras J over an algebraically closed field of characteristic 0, with solvable radical N such that N 2 = 0 and J/N is a simple Jordan superalgebra of one of the following types: Kac K10, Kaplansky K3, superform or Dt. We prove that an analogue of the Wedderburn Principal Theorem (WPT) holds if certain restrictions on the types of irreducible subbimodules of N are imposed, where N is considered as a J/N -bimodule. Using counterexamples, it is shown that the imposed restrictions are essential.COL008689632 páginasapplication/pdfengElsevierNueva York, Estados Unidoshttps://creativecommons.org/licenses/by-nc-nd/4.0/http://creativecommons.org/licenses/by-nc-nd/2.5/co/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Wedderburn principal theorem for Jordan superalgebras IArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionSuper álgebras de JordanJordan simple super álgebraCampo algebraicoDimensión finita un campoSubbimódulos irreduciblesJ. Algebra.321505Journal of AlgebraPublicationORIGINALGómezF_2018_WedderburnPrincipalTheorem.pdfGómezF_2018_WedderburnPrincipalTheorem.pdfArtículo de investigaciónapplication/pdf574545https://bibliotecadigital.udea.edu.co/bitstreams/48a2c582-bbf6-4a56-aa32-a29556ecfaf2/download110408fb06d9753626ff56730a511165MD51trueAnonymousREADCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/07e69e3f-570a-402d-9d17-870a847a70dc/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/697f747b-40d9-475d-993f-d501f14db0c2/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADTEXTGómezF_2018_WedderburnPrincipalTheorem.pdf.txtGómezF_2018_WedderburnPrincipalTheorem.pdf.txtExtracted texttext/plain76212https://bibliotecadigital.udea.edu.co/bitstreams/5224fadb-9de4-42f1-b971-871999d601ee/download9581772f7bedbae6824a4c3bdaa7a384MD54falseAnonymousREADTHUMBNAILGómezF_2018_WedderburnPrincipalTheorem.pdf.jpgGómezF_2018_WedderburnPrincipalTheorem.pdf.jpgGenerated Thumbnailimage/jpeg10622https://bibliotecadigital.udea.edu.co/bitstreams/b1c2fad3-13a9-492d-a364-f545b8fe80ad/download4b7cdbfad91ee021a039e5d6b82e3520MD55falseAnonymousREAD10495/30998oai:bibliotecadigital.udea.edu.co:10495/309982025-07-06 16:46:04.974https://creativecommons.org/licenses/by-nc-nd/4.0/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |