【摘要】 设 F为域 ,φ为 F的秩为 1的非平凡 ,非阿基米德赋值 ,r为与其相对应的赋值环 ,p为 r的极大理想 .本文讨论了 F的 m次根扩张中的素理想分解问题 .当基域中含有 m次本原单位根时 ,完全解决了 W.Y.Veléz问题更多还原

【Abstract】 Let F be a field, φ be its valuation of rank 1 non trivial and non archimedean ,r be the valuation ring corresponding to valuation φ ,and p bethe maximal ideal of r.In this paper,The problem of prime ideal decomposition in F(μ 1m  has been disscussed),If ξ m∈F,ξ m is m th primitive unit root, the problem of W. Y. Velez has been solved completely.更多还原