Mathematical Sciences: Research in Ring Theory

该奖项支持一般领域的研究， 非交换环理论 主要研究者将 研究斜多项式环的结构，量子 坐标代数，诺特环和相关环。 这项研究是在环理论的一般领域。 的环 是一个既有加法又有乘法的代数对象 尽管加法运算满足 交换律，乘法运算不需要做 是的 一个环的例子，其中乘法不是 交换的是整数上的nxn矩阵的集合。 对非交换环的研究已经成为环理论的一个重要组成部分， 代数，因为它的重要性越来越多的其他分支， 数学和物理。

This award supports research in the general area of noncommutative ring theory. The principal investigator will investigate the structure of skew polynomial rings, quantum coordinate algebras, noetherian rings, and related rings. This research is in the general area of ring theory. A ring is an algebraic object having both an addition and a multiplication defined on it. Although the additive operation satisfies the commutative law, the multiplicative operation is not required to do so. An example of a ring for which multiplication is not commutative is the collection of nxn matrices over the integers. The study of noncommutative rings has become an important part of algebra because of its increasing significance to other branches of mathematics and physics.