Mathematical Sciences: Grothendieck Groups, Gelfand-KirillovDimension and Poincare Series in Ring Theory

数学科学：环论中的格洛腾迪克群、格尔芬德-基里洛夫维数和庞加莱级数

• 批准号: 8800519
• 负责人: Martin Lorenz
• 金额: $ 3.9万
• 依托单位: Northern Illinois University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8800519&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Grothendieck; Groups; Gelfand

This project is concerned with research in ring theory. The principal investigator will examine special classes of rings including group rings, algebras of differential operators, PI-algebras and division rings. This project will examine the Grothendieck group for these rings and the Gelfand-Kirillov dimension. The research in this project is in the general area of ring theory. Recent research in ring theory has been increasingly directed towards the study of special classes of rings. The principal investigator will be considering particular types of rings the significance of which comes from their origins in various other parts of mathematics.

该项目与环理论研究有关。 首席研究人员将检查包括组戒指，差异操作员的代数，pi-algebras和分区环在内的特殊类环。该项目将检查Grothendieck小组的这些戒指和Gelfand-Kirillov维度。 该项目的研究在环理论的一般领域。戒指理论的最新研究越来越多地针对特殊类环的研究。主要研究者将考虑特定类型的环的意义来自其起源于数学的其他各个部分。