四元素代數

Abstract

這篇論文主要是對四元素代數其係數為有理數作分類。更確切地說，我們提供一組演算法，對每一四元素代數的同構類利用此演算法計算一組非零整數(a,b)。

The goal of this paper is to classify quaternion algebras over the field of rational numbers explicitly. More precisely, we give an algorithm to compute a pair (a,b) of nonzero integers for each isomorphic class of quaternion algebras.