Generalized Derivations of Multiplicative n-Ary Hom-Omega Color Algebras

Detalhes bibliográficos
Autor(a) principal: Beites, P. D.
Data de Publicação: 2019
Outros Autores: Kaygorodov, I., Popov, Y.
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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spelling 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:RCAAP2023-03-29T02:31:23ZPortal AgregadorONG
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
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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
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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