素理想P在F(μ^(1/ι))中分解  

Decomposition of prime ideal P in F(μ^(1/ι))

作　　者：高恩伟[1] 张金霞[1] 

机构地区：[1]辽宁大学数学院,辽宁沈阳110036

出　　处：《纯粹数学与应用数学》2012年第5期569-572,共4页Pure and Applied Mathematics

基　　金：国家自然科学基金(10671134)

摘　　要：用扩张平移方法将基域中不含有ι次本原单位根的素理想分解问题转化为基域中含有ι次本原单位根的素理想分解问题,完全解决了素理想P在代数数域F的ι次根扩张F(μ1ι)中的分解问题.The problem of laws of decomposition of prime ideal in the base field F which there is not e-degree primitive root of unity has been changed to the problem of laws of decomposition of prime ideal in the base field which involved v-degree primitive root of unity by the method of translation of extension. When is the field of algebraic numbers, The problem of laws of decomposition of prime ideal in the base field F（u 1/l ） has been solved completely.

关 键 词：素理想分解 全分歧的 素的 完全分裂 

分 类 号：O156.2[理学—数学]