论文标题
环形电磁阀的许多理论分类
A number theoretic classification of toroidal solenoids
论文作者
论文摘要
我们通过研究相关的第一ĉech共同体学组来对非单星$ n $ matrices $ a $ a $定义的环形螺线管进行分类。在以前的工作中,我们使用$ a $的特征多项式分裂字段中的概括性理想类在情况下对$ n = 2 $进行了分类。在本文中,我们探讨了任意$ n $的分类问题。
We classify toroidal solenoids defined by non-singular $n\times n$-matrices $A$ with integer coefficients by studying associated first Ĉech cohomology groups. In a previous work, we classified the groups in the case $n=2$ using generalized ideal classes in the splitting field of the characteristic polynomial of $A$. In this paper we explore the classification problem for an arbitrary $n$.