On identities of a Ternary Quaternion Algebra
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10316/43983 https://doi.org/10.1080/00927871003601659 |
Resumo: | This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
spelling |
On identities of a Ternary Quaternion AlgebraComposition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system.This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed.Taylor & Francis2011-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43983http://hdl.handle.net/10316/43983https://doi.org/10.1080/00927871003601659eng0092-7872 print/1532-4125 onlinehttp://www.tandfonline.com/doi/abs/10.1080/00927871003601659?tab=permissions&scroll=topBeites, P. D.Nicolás, A. P.Pozhidaev, A. P.Saraiva, P.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-05-25T03:07:52Zoai:estudogeral.uc.pt:10316/43983Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:45:45.983133Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
On identities of a Ternary Quaternion Algebra |
title |
On identities of a Ternary Quaternion Algebra |
spellingShingle |
On identities of a Ternary Quaternion Algebra Beites, P. D. Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system. |
title_short |
On identities of a Ternary Quaternion Algebra |
title_full |
On identities of a Ternary Quaternion Algebra |
title_fullStr |
On identities of a Ternary Quaternion Algebra |
title_full_unstemmed |
On identities of a Ternary Quaternion Algebra |
title_sort |
On identities of a Ternary Quaternion Algebra |
author |
Beites, P. D. |
author_facet |
Beites, P. D. Nicolás, A. P. Pozhidaev, A. P. Saraiva, P. |
author_role |
author |
author2 |
Nicolás, A. P. Pozhidaev, A. P. Saraiva, P. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Beites, P. D. Nicolás, A. P. Pozhidaev, A. P. Saraiva, P. |
dc.subject.por.fl_str_mv |
Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system. |
topic |
Composition algebra; Derivation; Enveloping algebra; Filippov algebra; Identity; Triple system. |
description |
This article studies a simple 4-dimensional ternary algebra A which appears analogously to the quaternions from the Lie algebra sl_2. We describe the heights 1 and 2 identities, and the derivations of A. Based on A, some ternary enveloping algebras for ternary Filippov algebras are constructed. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-03 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/43983 http://hdl.handle.net/10316/43983 https://doi.org/10.1080/00927871003601659 |
url |
http://hdl.handle.net/10316/43983 https://doi.org/10.1080/00927871003601659 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0092-7872 print/1532-4125 online http://www.tandfonline.com/doi/abs/10.1080/00927871003601659?tab=permissions&scroll=top |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Taylor & Francis |
publisher.none.fl_str_mv |
Taylor & Francis |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799133732029857792 |