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Master's Dissertation
DOI
10.11606/D.55.2019.tde-28112018-162253
Document
Author
Full name
Rosali Brusamarello
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1991
Supervisor
Committee
Dias, Ires (President)
Brumatti, Paulo Roberto
Micali, Artibano
Title in Portuguese
IDEAIS PRIMOS DO ANEL DE WITT SOBRE UM ANEL LOCAL
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Neste trabalho estudamos a teoria de formas quadráticas sobre anéis locais, sem a hipótese que 2 é inversível no anel. Nosso objetivo é estabelecer uma correspondência biunívoca entre o conjunto dos ideais primos minimais do Anel de Witt sobre um anel local e o conjunto das ordens maximais deste anel. Esta correspondência já foi estabelecida por Kanzaki e Kitamura quando 2 é inversível no anel local.
Title in English
Not available
Keywords in English
Not available
Abstract in English
In this work we study quadratic forms theory on local rings on which we don't have the hipothesis that 2 is invertible. Our aim is to stablish a one to one correspondence between the set of the minimal prime ideais of Witt Ring on a local ring and the set of maximal orders of this ring. This correspondence have already been stablished by Kanzaki and Kitamura when 2 is invertible on the local ring.
 
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Publishing Date
2019-02-22
 
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