素理想分解与幂元整基  

Decoposition of Prime Ideal and Normal Integral Basis

作　　者：张金霞[1] 高恩伟[2] 

机构地区：[1]辽宁大学数学系 [2]沈阳教育学院

出　　处：《辽宁大学学报（自然科学版）》1991年第3期54-56,共3页Journal of Liaoning University：Natural Sciences Edition

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〕.

关 键 词：素理想 完全分裂 幂元整基 

分 类 号：O153.3[理学—数学]