Witt Rings
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Elementos rigidos, valorizações e estrutura de aneis de Witt / Rigid elements, valuations and structure of Witt rings
An ordered field is an algebraic structure like the field of real numbers. However, while the field of real numbers have only one ordering, an arbitrary ordered field F may have more than one ordering, and also a infinite and uncountble number of orderings is allowed. To each element x Î F one can associate an binary quadratic form [1, x], called Pfister 1-
Publicado em: 2007
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2. Rigid elements, valuations and structure of Witt rings / Elementos rigidos, valorizações e estrutura de aneis de Witt
An ordered field is an algebraic structure like the field of real numbers. However, while the field of real numbers have only one ordering, an arbitrary ordered field F may have more than one ordering, and also a infinite and uncountble number of orderings is allowed. To each element x Î F one can associate an binary quadratic form [1, x], called Pfister 1-
Publicado em: 2007
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3. O anel dos vetores de Witt e o problema de Waring
In this work we study complete discrete valuation rings. We construct the ring of Witt vectors, denoted by W(A), with components in a commutative ring with unity A. We define W(k), where k is a perfect field of characteristc p, and prove that W(k), defined in this way, is a complete discrete unramified valuation ring. Afterwards, we take k algebraic over Fp
Publicado em: 2006