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A COMPLETE DETERMINATION OF THE CUBIC CYCLIC EXTENSION FIELDS OF NUMBER FIELDS

A COMPLETE DETERMINATION OF THE CUBIC CYCLIC EXTENSION FIELDS OF NUMBER FIELDS
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摘要 The fundamental topic of algebraic number theory is to determine all Galois extension fields of a number field. The class field theory determines all Abelian extension fields of a number field on theoretical, but it is not concrete. The author has studied the arithmetic properties of cubic cyclic extensions of number fields in [1, 2]. In this report, we determine all cubic cyclic extension fields of any number field K.
作者 蓝以中
出处 《Chinese Science Bulletin》 SCIE EI CAS 1989年第12期973-976,共4页
关键词 number field CUBIC CYCLIC extension SPLITTING COMPLETELY PRIME ideal. number field, cubic cyclic extension, splitting completely prime ideal.
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