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

这个项目是关于环理论的研究。 首席研究员将检查特殊类别的 环包括群环，微分代数 算子、PI-代数和除环。该项目将 研究Grothendieck群的这些环和 Gelfand-Kirillov维数 本项目的研究范围为 戒指理论最近的研究在环理论已经 越来越多地针对特殊类别的研究， 环.首席研究员会考虑 特殊类型的环，其意义来自于 它们起源于数学的其他各个部分。

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.