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。主要研究人员将研究特殊类型的环，包括群环、微分算子代数、PI-代数和除环。这个项目将研究这些环的Grothendieck群和Gelfand-Kirillov维度。本项目的研究属于环论的一般领域。最近对环论的研究越来越多地指向对特殊环类的研究。首席研究人员将考虑特殊类型的环，其意义来自于它们在数学的其他各个部分的起源。

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.