Mathematical Sciences: Differential Operator Rings, Noetherian Rings, and Von Neumann Regular Rings

数学科学：微分算子环、诺特环和冯诺依曼正则环

• 批准号: 9002355
• 负责人: Kenneth Goodearl
• 金额: $ 8.76万
• 依托单位: University of Utah
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-07-01 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9002355&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Differential; Operator; Rings

This project is concerned with research in ring theory. The principal investigator will continue investigating the structure of differential operator rings, Noetherian rings, von Neumann regular rings, and related rings. A ring is an algebraic object having an addition and a multiplication defined on it. Rings occur in a variety of settings in mathematics and physics. The specific research involves the structure and theory of von Neumann regular rings and rings of differential operators.

这个项目是关于环理论的研究。 首席研究员将继续调查 微分算子环的结构，Noether环，von Neumann正则环及相关环。 一个环是一个代数对象有一个加法和一个 乘法定义在它。环出现在各种各样的 数学和物理的背景。具体研究 涉及冯·诺依曼正则环的结构和理论 和微分算子环。