Extension Galois
Mostrando 1-5 de 5 artigos, teses e dissertações.
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1. Sobre bases normais para extensões galoisianas de corpos / On normal bases for galoisian extensions of fields
Neste trabalho apresentamos várias demonstrações do Teorema da Base Normal para certos tipos de extensões galoisianas de corpos, algumas existenciais e outras construtivas, destacando as diferenças e dificuldades de cada situação. Apresentamos também generalizações de tal teorema e mostramos que toda extensão galoisiana de grau ímpar de corpos ad
Publicado em: 2008
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2. Codigos ciclicos sobre aneis locais e suas relações com a transformada discreta de Fourier / Cyclics codes on local rings and its relations with the discrete transformed of Fourier
In this research we present some existing relationships between cyclic codes and discrete Fourier transform both local rings. For this, it is necessary to identify the groups of unit associated with each corresponding local ring. As a consequence, cyclic codes over these rings may be constructed. Next, we construct sequence generators by use of linear feedba
Publicado em: 2007
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3. Sobre a existencia de elemento primitivo para extensões separaveis de aneis comutativos
One of the classic theorems of the Galois theory of fields is the Primitive Element Theorem. In Galois theory of commutative rings, such a theorem does not hold, in general. In this work we give necessary and sufficient conditions for the existence of a primitive element in an strongly separable extension of a connected commutative ring. Furthermore we p
Publicado em: 2004
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4. Generic Galois extensions
We define the notion of a generic Galois extension with group G over a field F. Let R be a communtative ring of the form F[x1,..., xn](1/s) and let S be a Galois extension of R with group G. Then S/R is generic for G over F if the following holds. Assume K/L is a Galois extension of fields with group G and such that L ⊇ F. Then there is an F algebra map f:
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5. p-Algebras of Arbitrary Exponents
To a purely inseparable Galois field extension C over A we associate a certain differential polynomial ring D. We show that all central simple A-algebras that contain C as a maximal commutative subalgebra can be obtained from D by factoring out certain ideals determined by Witt vectors.