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Doctoral Thesis
DOI
10.11606/T.55.2016.tde-29032016-164416
Document
Author
Full name
Thiago Henrique de Freitas
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2015
Supervisor
Committee
Pérez, Victor Hugo Jorge (President)
Brumatti, Paulo Roberto
Marcos, Eduardo do Nascimento
Miranda Neto, Cleto Brasileiro
Mirzaii, Behrooz
Title in Portuguese
Cohomologia local formal definida por um par de ideais
Keywords in Portuguese
Cohomologia local
Cohomologia local definida por um par de ideais
Cohomologia local formal
Abstract in Portuguese
Neste trabalho vamos introduzir duas generalizações do conceito de cohomologia local formal, o qual chamaremos de cohomologia local formal e Cech-cohomologia local formal, ambas definidas por um par de ideais. Estudaremos seu comportamento em diversos aspectos, tais como anulamento e não anulamento, artinianissidade, finitude, relações comadualidade de Matlis,entre outros. Para isto, uilizaremos o conceito da cohomologia local definida por um par de ideais, introduzido em [50]. Estudaremos também o anel de endomorfismo da cohomologia local definida por um par de ideais e analisaremos quando a dualidadede Matlis de certos módulos de cohomologia local definidos por um par de ideais são módulos Cohen-Macaulay.
Title in English
Formal local cohomology defined by a pair of idelas
Keywords in English
Formal local cohomology
Local cohomology
Local cohomology defined by a pair of ideals
Abstract in English
In this work we will introduce two generalizations of the concept of formal local cohomology, called formal local cohomology and Cech formal local cohomolgy, both defined by a pair of ideals. We study their behavior in several aspects, such as vanishing and non vanishing, artinianness, finiteness, relations with Matlis dual, and others. Forth is purpose, we use the concept of local cohomology defined by a pair of ideals, introduced in [50]. Also, we analyze the endomorphism ring of the local cohomology defined by a pair of ideal and when the Matlis dual of certain local cohomology defined by a pair of ideals are Cohen-Macaulaymodules.
 
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Publishing Date
2016-03-29
 
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