Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Fundamenta Informaticae

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Computing the Length of Sum of Squares and Pythagoras Element in a Global Field

Darkey-Mensah Mawunyo Kofi, Rothkege Beata

Fundamenta Informaticae

2021

Vol. 184, nr 4

297--306

This paper presents algorithms for computing the length of a sum of squares and a Pythagoras element in a global field K of characteristic different from 2. In the first part of the paper, we present algorithms for computing the length in a non-dyadic and dyadic (if K is a number field) completion of K. These two algorithms serve as subsidiary steps for computing lengths in global fields. In the second part of the paper we present a procedure for constructing an element whose length equals the Pythagoras number of a global field, termed a Pythagoras element.

Intrinsic Factorization of Ideals in Dedekind Domains

Darkey-Mensah Mawunyo Kofi, Koprowski Przemysław

Fundamenta Informaticae

2019

Vol. 170, nr 4

325--338

We present a generalization of a polynomial factorization algorithm that works with ideals in maximal orders of global function fields. The method presented in this paper is intrinsic in the sense that it does not depend on the embedding of the ring of polynomials into the Dedekind domain in question.