ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS

Detalhes bibliográficos
Autor(a) principal: de Andrade, Antonio Aparecido
Data de Publicação: 2023
Outros Autores: Facini, Linara Stéfani, Esteves, Livea Cichito
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.12732/ijam.v36i1.8
http://hdl.handle.net/11449/247227
Resumo: Let Q denote the field of rational numbers and K be a pure quartic extension, that is, K = Q(4√d), where d is a square free integer. In this work, we present an integral basis, norm, trace and the discriminant of K.
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spelling ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONSalgebraic integerspure quartic extensionsLet Q denote the field of rational numbers and K be a pure quartic extension, that is, K = Q(4√d), where d is a square free integer. In this work, we present an integral basis, norm, trace and the discriminant of K.Department of Mathematics S˜ao Paulo State University, SP2023-07-29T13:10:10Z2023-07-29T13:10:10Z2023-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article99-106http://dx.doi.org/10.12732/ijam.v36i1.8International Journal of Applied Mathematics, v. 36, n. 1, p. 99-106, 2023.1314-80601311-1728http://hdl.handle.net/11449/24722710.12732/ijam.v36i1.82-s2.0-85153376124Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Applied Mathematicsde Andrade, Antonio AparecidoFacini, Linara StéfaniEsteves, Livea Cichitoinfo:eu-repo/semantics/openAccess2023-07-29T13:10:10Zoai:repositorio.unesp.br:11449/247227Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:17:06.430715Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
title ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
spellingShingle ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
de Andrade, Antonio Aparecido
algebraic integers
pure quartic extensions
title_short ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
title_full ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
title_fullStr ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
title_full_unstemmed ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
title_sort ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
author de Andrade, Antonio Aparecido
author_facet de Andrade, Antonio Aparecido
Facini, Linara Stéfani
Esteves, Livea Cichito
author_role author
author2 Facini, Linara Stéfani
Esteves, Livea Cichito
author2_role author
author
dc.contributor.author.fl_str_mv de Andrade, Antonio Aparecido
Facini, Linara Stéfani
Esteves, Livea Cichito
dc.subject.por.fl_str_mv algebraic integers
pure quartic extensions
topic algebraic integers
pure quartic extensions
description Let Q denote the field of rational numbers and K be a pure quartic extension, that is, K = Q(4√d), where d is a square free integer. In this work, we present an integral basis, norm, trace and the discriminant of K.
publishDate 2023
dc.date.none.fl_str_mv 2023-07-29T13:10:10Z
2023-07-29T13:10:10Z
2023-01-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.12732/ijam.v36i1.8
International Journal of Applied Mathematics, v. 36, n. 1, p. 99-106, 2023.
1314-8060
1311-1728
http://hdl.handle.net/11449/247227
10.12732/ijam.v36i1.8
2-s2.0-85153376124
url http://dx.doi.org/10.12732/ijam.v36i1.8
http://hdl.handle.net/11449/247227
identifier_str_mv International Journal of Applied Mathematics, v. 36, n. 1, p. 99-106, 2023.
1314-8060
1311-1728
10.12732/ijam.v36i1.8
2-s2.0-85153376124
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Applied Mathematics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 99-106
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128916782579712

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