Mathematical Sciences: Noncommutative Rings

这个项目关注的是非对易 环论、范畴论和代数的其他领域。的 首席研究员将致力于可表示的函子， 结合环簇与其它代数环簇的结合环簇 对象此外，他还将研究吉尔范德-基里洛夫 因子环和可实现为格的格的维数 von Neumann正则环的所有双边理想 这项研究涉及到一系列广泛的问题 戒指理论它有可能影响许多领域， 数学，包括环论，代数数论， 有限群理论和泛代数，以及计算机 科学

This project is concerned with problems in noncommutative ring theory, category theory and other areas of algebra. The principal investigator will work on representable functors from varieties of associative rings to varieties of other algebraic objects. In addition, he will study the Gel'fand-Kirillov dimension of factor rings and lattices realizable as lattices of all two-sided ideals of von Neumann regular rings. The research supported concerns a wide spectum of problems in ring theory. It has the potential of impacting many areas of mathematics including ring theory, algebraic number theory, finite group theory and universal algebra, as well as, computer science.