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Showing 1 to 7 of 7 for “"integral basis"”.
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Integral Basis For Pure Cubic Fields
In this paper, the form of an integral basis for the pure cubic fields is determined using known results of algebraic number theory.
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Problems involving relative integral bases for quartic number fields
… extension of number fields has a relative integral basis is considered. In Chapters 2 and 3 we use a criteria of Mann to determine when a cyclic quartic field or a pure quartic field has an integral basis over its quadratic subfield. In the final chapter we study the question: if the …
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Algorithmic Aspects of Biquadratic, Cubic and Radical Function Fields
… that we obtained for the ramifications and an integral basis of a cyclic biquadratic function field are simple, explicit and efficient. The computation of the unit group on a global bicyclic biquadratic function field generalizes and simplifies Kubota's work [Kub56) to function fields. It thus …
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Quintic Abelian Fields
… a generating polynomial and its roots and an integral basis are computed. A method for finding the fundamental units, regulators and class numbers is then developed. Tables listing the coefficients of a generating polynomial, the regulator, the class number, and a coefficients of a fundamental …
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On the Units and the Structure of the 3-Sylow Subgroups of the Ideal Class Groups of Pure Bicubic Fields and their Normal Closures
… Among these invariants are the discriminant, an integral basis, a set of fundamental units, the class number and the rank of the 3-class group.
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Efficient enumeration of extensions of local fields with bounded discriminant
… [varphi]( x ) of Z ( x ) our algorithm return an integral basis for k [ x ]/[varphi]( x ) k [ x ] over k .
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Topics in quantum topology
… is associated to any modular category over an integrally closed ground ring.