素数P在Q(5^(1/2),μ^(1/5))中分解  

Decomposition of Prime Ideal p in Q(5^(1/2),μ^(1/5))

作　　者：张金霞[1] 高恩伟[1] 

机构地区：[1]辽宁大学数学院,沈阳110036

出　　处：《辽宁大学学报（自然科学版）》2015年第1期7-10,共4页Journal of Liaoning University：Natural Sciences Edition

摘　　要：用扩张平移方法将基域中不含有l次本原单位根的素理想分解问题转化为基域中含有l次本原单位根的素理想分解问题,完全解决了素数p在代数数域Q(5,μ15)中的分解问题.The problem of laws of decomposition of prime ideal in the base field F which there is not l-degree primitive root of unity has been changed to the problem of laws of decomposition of prime ideal in the base field F which involved l-degree primitive root of unity by the method of translation of extension. The problem of laws of decomposition of prime ideal p in the field Q（√5,μ1/5） 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]