Mathematical Sciences: Localization in Serial Rings

这个项目是关于寻找一个统一的 具有任意Krull序列环结构理论 维度非交换局部化将用于 确定这个结构。这些结果将用于 研究更广泛的环类。 这个项目是在环理论的一般领域。的环 是一个有加法和乘法的代数结构 这些对象在许多领域都很重要， 数学和物理一样。这个特别的项目是 关注的是寻找具有多重意义的元素， 相反。

This project is concerned with finding a unifying structure theory for serial rings with arbitrary Krull dimension. Noncommutative localization will be used to determine this structure. These results will then be used to study broader classes of rings. This project is in the general area of ring theory. A ring is an algebraic structure with an addition and a multiplication defined on it. These objects are important in many areas of mathematics as well as physics. This particular project is concerned with finding elements which have a multicative inverse.