Relative integral basis for algebraic number fields

Mohmood Haghighi

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-8

Abstract:

At first conditions are given for existence of a relative integral basis for O K ≅ O k n − 1 ⊕ I with [ K ; k ] = n . Then the constrtiction of the ideal I in O K ≅ O k n − 1 ⊕ I is given for proof of existence of a relative integral basis for O K 4 ( m 1 , m 2 ) / O k ( ​ m 3 ) . Finally existence and construction of the relative integral basis for O K 6 ( n 3 , − 3 ) / O k 3 ( n 3 ) , O K 6 ( n 3 , − 3 ) / O k 2 ( − 3 ) for some values of n are given.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:748697

DOI: 10.1155/S0161171286000121

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