- 期刊
RELATIVE INTEGRAL BASIS FOR ALGEBRAIC NUMBER FIELDS
摘要
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 construction 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(3√n, √-3)/O_K_3(3√n),O_K_6 (3√n, √-3)/O_K_2 (√-3) for some values of n are given.
延伸閱讀
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