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Integral trace form of extensions of degree pq

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dc.contributor.authorMoro, Eliton M. [UNESP]
dc.contributor.authorAndrade, Antonio A. [UNESP]
dc.contributor.authorAlves, Carina [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2021-06-25T10:53:23Z
dc.date.available2021-06-25T10:53:23Z
dc.date.issued2021-01-01
dc.description.abstractIn this work, we present the integral trace form TrM/Q(x2) of a cyclic extension M/Q with degree pq, where M = KL, p and q are distinct odd primes, the conductor of M is a square free integer, and x belongs to the ring of algebraic integers OM of M. The integral trace form of M/Q allows one to calculate the packing radius of lattices constructed via the canonical (or twisted) homomorphism of submodules of OMen
dc.description.affiliationDepartment of Mathematics São Paulo State University (Unesp) Institute of Biosciences Humanites and Exact Sciences (Ibilce) Campus São José do Rio Preto
dc.description.affiliationDepartment of Mathematics São Paulo State University (Unesp) Institute of Geosciences and Exact Sciences (Igce) Campus Rio Claro
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University (Unesp) Institute of Biosciences Humanites and Exact Sciences (Ibilce) Campus São José do Rio Preto
dc.description.affiliationUnespDepartment of Mathematics São Paulo State University (Unesp) Institute of Geosciences and Exact Sciences (Igce) Campus Rio Claro
dc.identifierhttp://dx.doi.org/10.1142/S0219498822501031
dc.identifier.citationJournal of Algebra and its Applications.
dc.identifier.doi10.1142/S0219498822501031
dc.identifier.issn0219-4988
dc.identifier.scopus2-s2.0-85101376657
dc.identifier.urihttp://hdl.handle.net/11449/207331
dc.language.isoeng
dc.relation.ispartofJournal of Algebra and its Applications
dc.sourceScopus
dc.subjectAlgebraic lattice
dc.subjectIntegral trace form
dc.subjectNumber field
dc.titleIntegral trace form of extensions of degree pqen
dc.typeArtigo
dspace.entity.typePublication
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
unesp.departmentMatemática - IBILCEpt
unesp.departmentMatemática - IGCEpt

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