منابع مشابه
On integral bases in relative quadratic extensions
Let F be an algebraic number field and E a quadratic extension with E = F(√μ). We describe a minimal set of elements for generating the integral elements oE of E as an oF module. A consequence of this theoretical result is an algorithm for constructing such a set. The construction yields a simple procedure for computing an integral basis of E as well. In the last section, we present examples of...
متن کاملCalculating Power Integral Bases by Solving Relative Thue Equations
In our recent paper I. Gaál: Calculating “small” solutions of relative Thue equations, J. Experiment. Math. (to appear) we gave an efficient algorithm to calculate “small” solutions of relative Thue equations (where “small” means an upper bound of type 10500 for the sizes of solutions). Here we apply this algorithm to calculating power integral bases in sextic fields with an imaginary quadratic...
متن کاملIntegral Function Bases
Integral bases, a minimal set of solutions to Ax ≤ b, x ∈ Zn that generate any other solution to Ax ≤ b, x ∈ Zn, as a nonnegative integer linear combination, are always finite and are at the core of the Integral Basis Method introduced by Haus, Köppe and Weismantel. In this paper we present one generalization of the notion of integral bases to the nonlinear situation with the intention of creat...
متن کاملComputation of integral bases
Let A be a Dedekind domain, K the fraction field of A, and f ∈ A[x] a monic irreducible separable polynomial. For a given non-zero prime ideal p of A we present in this paper a new method to compute a p-integral basis of the extension of K determined by f . Our method is based on the use of simple multipliers that can be constructed with the data that occurs along the flow of the Montes Algorit...
متن کاملOn the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1976
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1976-0399041-9