论文标题
季度代数中的理想类别的订单类别
Ideal classes of orders in quaternion algebras
论文作者
论文摘要
我们提供了一种算法,鉴于在全球领域的四元组代数中的任何订单$ o $,计算了所有权利$ o $ $ iDeals的代表,包括不可糊化的类别。该理论是为更通用的代数开发的。
We provide an algorithm that, given any order $O$ in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right $O$-ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras.