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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Ideais Primitivos e o Módulo Conormal

Junior., Reginaldo Amaral Cordeiro 17 May 2013 (has links)
Made available in DSpace on 2015-05-15T11:46:06Z (GMT). No. of bitstreams: 1 ArquivoTotalReginaldo.pdf: 2356428 bytes, checksum: ddfd549c0749b44b5c772848742e7dce (MD5) Previous issue date: 2013-05-17 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / In this work, our main objective is to introduce and investigate certain properties of the so-called primitive ideals of Pellikaan-Siersma, including a version relative to a pair of ideals and a generalization to higher order due to Jiang-Simis, as well as to apply such theory to the study of the conormal module M of an ideal in a quotient ring, with focus on an adequate description of its torsion part T(M) and on the freeness of the torsion-free module M=T (M). The connection between M and the second symbolic power of a certain ideal (the ideal whose conormal module is M) will also be highlighted. / Neste trabalho, nosso principal objetivo é introduzir e investigar certas propriedades dos chamados ideais primitivos de Pellikaan-Siersma, incluindo uma versão relativa a um par de ideais e uma generalização em ordem superior devida a Jiang-Simis, bem como aplicar tal teoria ao estudo do módulo conormal M de um ideal em um anel quociente, com foco em uma descrição adequada de sua torção T(M) e na liberdade do módulo livre-de-torção M=T (M). A conexão entre M e a segunda potência simbólica de um certo ideal (o ideal cujo módulo conormal é M) também será destacada.

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