ON RELATIVE INTEGRAL BASES OF QUARTIC CYCLIC NUMBER FIELDS

作     者：冯克勤 张贤科 FENG KEQIN ZHUANG XIANKE (University of Science and Technology of China, Hefei)

作者机构：University of Science and Technology of China Hefei University of Science and Technology of China Hefei is one i.e. O_F is a principle ideal ring (e.g.F = Q) then O_E is a free O_F-module and E/F has a relative integral basis. But in general case E/F may not have a relative integral basis. We are concerned about the existence of relative integral basis for K/k where K is 

出 版 物：《Chinese Science Bulletin》 (科学通报(英文版))

年 卷 期：1983年第28卷第4期

页      面：456-457页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：concerned integers Peterson 了万 tried 

摘      要：F is one, i.e. O_F is a principle ideal ring (e.g.F = Q), then O_E is a free O_F-module and E/F has a relative integral basis. But in general case E/F may not have a relative integral basis. We are concerned about the existence of relative integral basis for K/k, where K