素数p在Q()中的素理想分解问题

2000MSC:11M06

Decomposition of prime ideal p in Q()

ZHAN Jin-hu1,TENG Yan-hui2

(1.Xi’an Tieyi Middle School,Xi’an710054,China;
2.Department of Mathematics,Northwest University,Xi’an710127,China)

To study the problem of the law of decomposition of prime ideal p in(Q),using the method local field,the possible type of decomposition of prime ideal has been established when(pα||u).It is a road which can be used to the investigation of decomposition of prime idea p in(Q).

ideal,fully ramified,local field,Eisenstein polynomial