Please use this identifier to cite or link to this item: https://hdl.handle.net/10316/89485
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dc.contributor.authorKaygorodov, Ivan-
dc.contributor.authorPozhidaev, Alexander-
dc.contributor.authorSaraiva, Paulo-
dc.date.accessioned2020-06-08T11:34:22Z-
dc.date.available2020-06-08T11:34:22Z-
dc.date.issued2019-
dc.identifier.urihttps://hdl.handle.net/10316/89485-
dc.description.abstractBased on the relation between the notions of Lie triple systems and Jordan algebras, we introduce the n-ary Jordan algebras, an n-ary generalization of Jordan algebras obtained via the generalization of the following property [R_x; R_y] \in Der (A); where A is an n-ary algebra. Next, we study a ternary example of these algebras. Finally, based on the construction of a family of ternary algebras defined by means of the Cayley-Dickson algebras, we present an example of a ternary D_{x,y}-derivation algebra (n-ary D_{x,y}-derivation algebras are the non-commutative version of n-ary Jordan algebras).pt
dc.language.isoengpt
dc.publisherTaylor & Francispt
dc.relationUID/MAT/00324/2019pt
dc.rightsembargoedAccesspt
dc.subjectJordan algebras; non-commutative Jordan algebras; derivations; n-ary algebras; Lie triple systems; generalized Lie algebras; Cayley–Dickson construction; TKK constructionpt
dc.titleOn a ternary generalization of Jordan algebraspt
dc.typearticle-
degois.publication.firstPage1074pt
degois.publication.lastPage1102pt
degois.publication.issue6pt
degois.publication.titleLinear and Multilinear Algebrapt
dc.relation.publisherversionhttps://www.tandfonline.com/doi/abs/10.1080/03081087.2018.1443426?journalCode=glma20pt
dc.peerreviewedyespt
dc.identifier.doi10.1080/03081087.2018.1443426pt
degois.publication.volume67pt
dc.date.embargo2020-01-01*
uc.date.periodoEmbargo365pt
item.fulltextCom Texto completo-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1en-
item.openairetypearticle-
item.cerifentitytypePublications-
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais
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