Computing power integral bases in algebraic number fields

Number Theory ◽  
2012 ◽  
Author(s):  
István Gaál
Keyword(s):  
Algebraic Number ◽  
Number Fields ◽  
Algebraic Number Fields ◽  
Computing Power ◽  
Integral Bases

scholarly journals Computation of relative integral bases for algebraic number fields

1988 ◽  
Vol 11 (3) ◽  
pp. 523-526
Author(s):  
Mahmood Haghighi
Keyword(s):  
Algebraic Number ◽  
Number Fields ◽  
Algebraic Number Fields ◽  
Integral Bases

At first we are given conditions for existence of relative integral bases for extension(K;k)=n. Then we will construct relative integral bases for extensionsOK6(−36)/Ok2(−3),OK6(−36)/Ok3(−33),OK6(−36)/Z.

scholarly journals A Note on Units of Algebraic Number Fields

1955 ◽  
Vol 9 ◽  
pp. 115-118 ◽  
Author(s):  
Tomio Kubota
Keyword(s):  
Existence Theorem ◽  
Algebraic Number ◽  
Present Note ◽  
Number Fields ◽  
Algebraic Number Fields

We shall prove in the present note a theorem on units of algebraic number fields, applying one of the strongest formulations, be Hasse [3], of Grunwald’s existence theorem.

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