Mathematical Sciences: Rings of Finite Global Dimension

数学科学：有限全局维数环

• 批准号: 8807484
• 负责人: Ellen Kirkman
• 金额: $ 1.2万
• 依托单位: Wake Forest University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1989-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8807484&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Rings; Finite; Global

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 global 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.

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 有限整体维数Artin代数与序的结构 也将被研究。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 全局维数度量环的某些性质。这 研究将试图确定是否存在上限 限制类环的度量。