O anel dos vetores de Witt e o problema de Waring
AUTOR(ES)
Abílio Lemos Cardoso Júnior
DATA DE PUBLICAÇÃO
2006
RESUMO
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 and we conclude that W(k) is, up to isomorphism, the unique complete unramified extension of Zp. Finally, we apply the Warings problem to W(k).
ASSUNTO(S)
matematica Álgebra linear matemática
