Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/89485
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kaygorodov, Ivan | - |
dc.contributor.author | Pozhidaev, Alexander | - |
dc.contributor.author | Saraiva, Paulo | - |
dc.date.accessioned | 2020-06-08T11:34:22Z | - |
dc.date.available | 2020-06-08T11:34:22Z | - |
dc.date.issued | 2019 | - |
dc.identifier.uri | https://hdl.handle.net/10316/89485 | - |
dc.description.abstract | Based 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.iso | eng | pt |
dc.publisher | Taylor & Francis | pt |
dc.relation | UID/MAT/00324/2019 | pt |
dc.rights | embargoedAccess | pt |
dc.subject | Jordan algebras; non-commutative Jordan algebras; derivations; n-ary algebras; Lie triple systems; generalized Lie algebras; Cayley–Dickson construction; TKK construction | pt |
dc.title | On a ternary generalization of Jordan algebras | pt |
dc.type | article | - |
degois.publication.firstPage | 1074 | pt |
degois.publication.lastPage | 1102 | pt |
degois.publication.issue | 6 | pt |
degois.publication.title | Linear and Multilinear Algebra | pt |
dc.relation.publisherversion | https://www.tandfonline.com/doi/abs/10.1080/03081087.2018.1443426?journalCode=glma20 | pt |
dc.peerreviewed | yes | pt |
dc.identifier.doi | 10.1080/03081087.2018.1443426 | pt |
degois.publication.volume | 67 | pt |
dc.date.embargo | 2020-01-01 | * |
uc.date.periodoEmbargo | 365 | pt |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
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On a ternary generalization of Jordan algebras_IK_APP_PS.pdf | 350.91 kB | Adobe PDF | View/Open |
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