Mathematical Sciences: Localization in Serial Rings

本课题致力于寻找任意Krull维串行环的统一结构理论。非对易局部化将被用来确定这种结构。这些结果将被用来研究更广泛的环类。这个项目属于环理论的一般领域。环是定义了加法和乘法的代数结构。这些物体在数学和物理学的许多领域都很重要。这个特殊的项目涉及寻找具有多重逆的元素。

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.