Congruências modulares, corpos finitos e aplicações

In this study we are evaluating the modular congruencies related to some of its application fields. Another important aspect explored is the existing relationship between the modular congruencies and the finite fields. We will show among other results that the structure of a finite field is complete...

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Detalhes bibliográficos
Autor: Santos, Jefson dos
Formato: tesis de maestría
Estado:Versión publicada
Fecha de publicación:2015
País:Brasil
Recursos:Universidade Federal de Sergipe (UFS)
Repositorio:Repositório Institucional da UFS
Idioma:portugués
OAI Identifier:oai:oai:ri.ufs.br:repo_01:riufs/6527
Acesso em linha:https://ri.ufs.br/handle/riufs/6527
Access Level:acceso abierto
Palavra-chave:Congruências modulares
Corpos finitos
Característica
Jogo do solitário
Matemática
Congruências e restos
Aritmética
Jogos
Modular congruencies
Finite field
Characteristic
Solitary games
CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
Descrição
Resumo:In this study we are evaluating the modular congruencies related to some of its application fields. Another important aspect explored is the existing relationship between the modular congruencies and the finite fields. We will show among other results that the structure of a finite field is completely determined by its cardinality. We will also display a ludic application for the finite field through the so called solitary games.