Finiteness of hermitian levels of some algebras

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dc.contributor.authorDos Santos, Clotilzio Moreira [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-27T11:25:51Z
dc.date.available2014-05-27T11:25:51Z
dc.date.issued2011-04-12
dc.description.abstractWe characterize the hermitian levels of quaternion and octonion algebras and of an 8-dimensional algebra D over the ground field F, constructed using a weak version of the Cayley-Dickson double process. It is shown that all values of the hermitian levels of quaternion algebras with the hat-involution also occur as hermitian levels of D. We give some limits to the levels of the algebra D over some ground field. © Soc. Paran. de Mat.en
dc.description.affiliationDepartment of Mathematics Ibilce/Unesp, S. J. Rio Preto
dc.description.affiliationUnespDepartment of Mathematics Ibilce/Unesp, S. J. Rio Preto
dc.format.extent69-80
dc.identifierhttp://dx.doi.org/10.5269/bspm.v29i2.12850
dc.identifier.citationBoletim da Sociedade Paranaense de Matematica, v. 29, n. 2, p. 69-80, 2011.
dc.identifier.doi10.5269/bspm.v29i2.12850
dc.identifier.file2-s2.0-79953766431.pdf
dc.identifier.issn0037-8712
dc.identifier.issn2175-1188
dc.identifier.lattes8552426799060034
dc.identifier.scopus2-s2.0-79953766431
dc.identifier.urihttp://hdl.handle.net/11449/72379
dc.language.isoeng
dc.relation.ispartofBoletim da Sociedade Paranaense de Matematica
dc.relation.ispartofsjr0,210
dc.relation.ispartofsjr0,210
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectHermitian level
dc.subjectLevel
dc.subjectOctonion algebra
dc.subjectQuadratic forms
dc.subjectQuaternion algebra
dc.subjectSums of squares
dc.titleFiniteness of hermitian levels of some algebrasen
dc.typeArtigo
dcterms.licensehttp://periodicos.uem.br/ojs/index.php/BSocParanMat/about
unesp.author.lattes8552426799060034
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas