摘要
本文讨论了域k的非阿基米德赋值所对应的素理想在其Galois扩域k中完全分裂的条件,并由此给出了一判别幂元整基不存在的一个法则,改进了文〔1〕的结果。
In this paper, we have discussed a condition which is a kind of ideals in a field F splits completely in K, in which K is F＇s Galois extension, but also, we have also obtained a rule by which we can, know whether there is a Normal integral basis, it improves the results of 〔1〕.
出处
《辽宁大学学报（自然科学版）》
CAS
1991年第3期54-56,共3页
Journal of Liaoning University：Natural Sciences Edition
关键词
素理想
完全分裂
幂元整基
Prime ideal
Split completely
Galois extension
Normal integral basis
