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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.1995.tde-20210729-005829
Document
Author
Full name
Simone Batista
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 1994
Supervisor
Title in Portuguese
Fatoração do anel de inteiros de um corpo de numeros algebricos
Keywords in Portuguese
Números Algébricos
Abstract in Portuguese
Seja k um corpo de numeros algebricos, 'O IND.K' seu anel de inteiros, 'H IND.K' o grupo de classes e 'H IND.K' sua ordem, e conhecido que 'H IND.K' = 1 se, e somente se, 'O IND.K' e fatorial. Nesta dissertacao nos estudamos a relacao entre a estrutura do grupo abeliano finito 'H IND.K' (e sua ordem 'H IND.K') e as propriedades aritmeticas do anel de inteiros 'O IND.K', concentrando nossa atencao na fatoracao neste anel. O resultado principal (teorema 3. 9, pagina 22) caracteriza os aneis 'O IND.K' nos quais 'H IND.K' e ciclico com ordem potencia de um numero primo
Title in English
not available
Abstract in English
not available
 
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Publishing Date
2021-07-29
 
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