A note on the integral trace form in cyclotomic fields

dc.contributorSan Diego State Univ
dc.contributorUniversidade Estadual Paulista (Unesp)
dc.contributorUniv Fed Ceara
dc.creatorInterlando, J. Carmelo
dc.creatorNobrega Neto, Trajano Pires da [UNESP]
dc.creatorRodrigues, Tatiana Miguel [UNESP]
dc.creatorDantas Lopes, Jose Othon
dc.date2015-10-21T13:14:39Z
dc.date2015-10-21T13:14:39Z
dc.date2015-05-01
dc.date.accessioned2023-09-12T06:42:18Z
dc.date.available2023-09-12T06:42:18Z
dc.identifierhttp://www.worldscientific.com/doi/10.1142/S0219498815500450
dc.identifierJournal Of Algebra And Its Applications. Singapore: World Scientific Publ Co Pte Ltd, v. 14, n. 4, 9 p., 2015.
dc.identifier0219-4988
dc.identifierhttp://hdl.handle.net/11449/128862
dc.identifier10.1142/S0219498815500450
dc.identifierWOS:000349684300003
dc.identifier9245978997902109
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8778207
dc.descriptionLet m >= 3 be an integer, zeta(m) is an element of C a primitive mth root of unity, and K-m the cyclotomic field Q(zeta(m)). An explicit description of the integral trace form Tr-Km/Q(x (x) over bar)vertical bar Z[zeta(m)] where (x) over bar is the complex conjugate of x is presented. In the case where m is prime, a procedure for finding the minimum of the form subject to x being a nonzero element of a certain Z- module in Z[zeta(m)] is presented.
dc.descriptionFundação para o Desenvolvimento da UNESP (FUNDUNESP)
dc.descriptionSan Diego State Univ, Dept Math &Stat, San Diego, CA 92182 USA
dc.descriptionUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionUniv Estadual Paulista, Dept Matemat, Bauru, SP, Brazil
dc.descriptionUniv Fed Ceara, Dept Matemat, Fortaleza, Ceara, Brazil
dc.descriptionUniv Estadual Paulista, Dept Matemat, Sao Jose Do Rio Preto, SP, Brazil
dc.descriptionUniv Estadual Paulista, Dept Matemat, Bauru, SP, Brazil
dc.descriptionFUNDUNESP: CCP 2102/2013
dc.format9
dc.languageeng
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relationJournal Of Algebra And Its Applications
dc.relation0.600
dc.relation0,690
dc.rightsAcesso restrito
dc.sourceWeb of Science
dc.subjectCyclotomic fields
dc.subjectintegral trace forms
dc.subjectminima of forms
dc.titleA note on the integral trace form in cyclotomic fields
dc.typeArtigo


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