Mathematical Sciences: Homological Dimensions in Noncommutative Rings

这个项目是关于有限的整体环 维数，特别是交换上的经典阶 有限离散赋值环及其相关的Artin环 全球维度主要研究者将考虑 的全局维数上界的问题 整体维数有限的Noether PI环。的 有限整体Artin代数与序结构 还将研究维度。这将有助于 攻击塔西的猜想 这个项目是在环理论的一般领域。是 关于一类环的整体维数。的 球维数度量环的某些性质。这 研究将试图确定是否有一个上限， 这是一个限制类的环的测量。

This project is concerned with rings of finite global dimension, particularly classical orders over a commutative discrete valuation ring and related Artinian rings of finite global dimension. The principal investigator will consider the problem of obtaining an upper bound on the global dimension of Noetherian PI rings which have finite global dimension. The structure of orders and Artin algebras of finite global dimension will also be studied. This will be useful in attacking Tarsy's conjecture. This project is in the general area of ring theory. It is concerned with the global dimension of a class of rings. The gobal dimension measures certain properties of a ring. This research will try to determine if there is an upper bound on this measurement for a restricted class of rings.