Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras
Autor(a) principal: | |
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Data de Publicação: | 2019 |
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/10400.6/9100 |
Resumo: | We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color n-ary algebras to the case of n-ary Hom- Omega color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom- Omega color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-Omega color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom- Omega color algebra. |
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Generalized Derivations of Multiplicative n-Ary Hom-Omega Color AlgebrasGeneralized derivationColor algebraHom-algebraHom–Lie superalgebran-ary algebraWe generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color n-ary algebras to the case of n-ary Hom- Omega color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom- Omega color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-Omega color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom- Omega color algebra.MTM2013-45588-C3-1-P (Spain); MK-1378.2017.1 (Russia); FAPESP, 14/24519-8, 16/16445-0 (Brazil); RFBR, 16-31-00096 (Brazil)uBibliorumBeites, P. D.Kaygorodov, I.Popov, Y.2020-02-07T10:57:16Z20192019-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/9100eng10.1007/s40840-017-0486-8info: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:RCAAP2023-12-15T09:49:38Zoai:ubibliorum.ubi.pt:10400.6/9100Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:49:17.407961Repositório 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 |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
title |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
spellingShingle |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras Beites, P. D. Generalized derivation Color algebra Hom-algebra Hom–Lie superalgebra n-ary algebra |
title_short |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
title_full |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
title_fullStr |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
title_full_unstemmed |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
title_sort |
Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras |
author |
Beites, P. D. |
author_facet |
Beites, P. D. Kaygorodov, I. Popov, Y. |
author_role |
author |
author2 |
Kaygorodov, I. Popov, Y. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
uBibliorum |
dc.contributor.author.fl_str_mv |
Beites, P. D. Kaygorodov, I. Popov, Y. |
dc.subject.por.fl_str_mv |
Generalized derivation Color algebra Hom-algebra Hom–Lie superalgebra n-ary algebra |
topic |
Generalized derivation Color algebra Hom-algebra Hom–Lie superalgebra n-ary algebra |
description |
We generalize the results of Leger and Luks, Zhang R. and Zhang Y.; Chen, Ma, Ni, Niu, Zhou and Fan; Kaygorodov and Popov about generalized derivations of color n-ary algebras to the case of n-ary Hom- Omega color algebras. Particularly, we prove some properties of generalized derivations of multiplicative n-ary Hom- Omega color algebras. Moreover, we prove that the quasiderivation algebra of any multiplicative n-ary Hom-Omega color algebra can be embedded into the derivation algebra of a larger multiplicative n-ary Hom- Omega color algebra. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019 2019-01-01T00:00:00Z 2020-02-07T10:57:16Z |
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/10400.6/9100 |
url |
http://hdl.handle.net/10400.6/9100 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1007/s40840-017-0486-8 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
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 |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
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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1799136385283653632 |