ALGEBRAIC INTEGERS OF PURE QUARTIC EXTENSIONS
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , |
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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Repositório Institucional da UNESP |
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2946 |
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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 |