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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.

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Showing 1 to 3 of 3 (0.041 seconds)

Spelling suggestions: "subject:"dedekind domain"" "subject:"wedekind domain""

1

Uma prova elementar do teorema de Kronecker-Weber / An elementary proof of Kronecker-Weber theorem

Tapia, Hector Edonis Pinedo 06 March 2009 (has links)
O teorema de Kronecker-Weber afirma que se K é uma extensão finita e galoisiana dos racionais com grupo de Galois abeliano, K tem que ser ciclotômica. / The Kronecker-Weber theorem stablishes that, if K is a Galois finite extension of Q with Galois group abelian, then K is a ciclotomic field.
algebraic integer
ciclotomic field.
corpo ciclotômico.
Dedekind domain
domínio de Dedekind
inteiro algébrico
2

Uma prova elementar do teorema de Kronecker-Weber / An elementary proof of Kronecker-Weber theorem

Hector Edonis Pinedo Tapia 06 March 2009 (has links)
O teorema de Kronecker-Weber afirma que se K é uma extensão finita e galoisiana dos racionais com grupo de Galois abeliano, K tem que ser ciclotômica. / The Kronecker-Weber theorem stablishes that, if K is a Galois finite extension of Q with Galois group abelian, then K is a ciclotomic field.
corpo ciclotômico.
domínio de Dedekind
inteiro algébrico
algebraic integer
ciclotomic field.
Dedekind domain
3

Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field

Rezola, Nolberto 01 June 2015 (has links)
The ring of integers is a very interesting ring, it has the amazing property that each of its elements may be expressed uniquely, up to order, as a product of prime elements. Unfortunately, not every ring possesses this property for its elements. The work of mathematicians like Kummer and Dedekind lead to the study of a special type of ring, which we now call a Dedekind domain, where even though unique prime factorization of elements may fail, the ideals of a Dedekind domain still enjoy the property of unique prime factorization into a product of prime ideals, up to order of the factors. This thesis seeks to establish the unique prime ideal factorization of ideals in a special type of Dedekind domain: the ring of algebraic integers of an imaginary quadratic number field.
imaginary quadratic number field
unique prime ideal factorization
Dedekind domain
Algebraic integers
Rings
Fields
Ideals
Integral over
R-modules
finitely generated set
UFD
PID.
Algebra
Number Theory
Other Mathematics

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